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Recent questions in Continuity and Differentiability
Questions
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CBSE XII
>>
Math
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Continuity and Differentiability
Find the standard derivative of $\; \large \frac{d(sec^{-1}x)}{dx}$, given $|x|>1$
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find the standard derivative of: $ \large \frac{d(cot^{-1}x)}{dx}$
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find the standard derivative of: $ \large \frac{d(tan^{-1}x)}{dx} $
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find the standard derivative of: $ \large \frac{d(cos^{-1}x)}{dx}$
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Find the standard derivative of: $\; \large \frac{d(sin^{-1}x)}{dx}$.
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
If $y=f(g(x))$, then express $\large\frac{dy}{dx}$ in terms of $f(x)$ and $g(x)$.
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\large \frac{dy}{dx}$ if $y=f(t)$ and $x=g(t)$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of $\; \large \frac{d(u^v)}{dx}$?
class12
cbse
toolbox
concepts
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of: $\; \large \frac{d(uv)}{dx}$?
class12
cbse
toolbox
concepts
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of: $ \large \frac {d (\frac{u}{v})}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\large \frac {d (\log_a x)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function:$\; \log_ex$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(a^x)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(e^x)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(cotx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function:$\; \large \frac{d(secx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function:$\; \large \frac{d(cosecx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function:$\; \large \frac{d(tanx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(cosx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(sinx)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\; \large \frac{d(cx^n)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the derivative of the standard function: $\large \frac{d(x^n)}{dx}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of: $\;$ $\lim_{x\to \infty} \large \frac{sinx}{x} $?
cbse
class12
ch5
concepts
toolbox
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;$ $\lim\limits_{x\to 0} (1+\frac{1}{x})^{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;$ $\lim_{x\to 0} log(1+x)^{\frac{1}{x}}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;$ $\lim_{x\to 0} \large \frac{log(1+x)}{x} $?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;$ $\lim_{x\to 0} \large \frac{a^x-1}{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;$ $\lim_{x\to 0} \large \frac{e^x-1}{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\lim_{x\to 0} \large \frac{sin^{-1}x}{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\lim_{x\to 0} \large \frac{tan^{-1}x}{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of $\;\lim_{x\to 0} \large \frac{tanx}{x}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of: $\;\lim_{x\to 0} \large \frac{sinx}{x}$?
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
What is the value of:$ \;\lim_{x\to a} \large \frac{x^n-a^n}{x-a}$?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Which of the following is not a property of coninuity? $\qquad$(A) Every Constant Function is Continous, $\\$ (B) Every Polinomial Function is Continous, $\\$(C) Every Differential Function is Continous, $\\$(D) Every Continous Function is Differntiable.
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
True or False: Every Constant Function is Continous
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
True or False; Every Continous Function is Differntiable.
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Let f be a real function on a subset of the real numbers and let c be a point in the domain of f. For f to be continuous at c $\; \lim_{x\to c} f(x)$ should equal what?
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
True or False: A Function is Continous if it is continous on the whole of its domain.
cbse
class12
concepts
toolbox
ch5
math
asked
Apr 4, 2013
by
balaji.thirumalai
1
answer
Differentiate each of the following w.r.t $x$: $tan^{-1}\large\frac{3a^2x-x^3}{a^3-3ax^2}$, $\frac{1}{\sqrt 3}< \frac{x}{a} <\frac{-1}{\sqrt 3}$
cbse
class12
ch5
q42
p110
short-answer
exemplar
sec-a
difficult
math
asked
Feb 19, 2013
by
sreemathi.v
1
answer
Find $\large \frac{dy}{dx}$ if $( (x^2+y^2)^2=xy)$
cbse
class12
modelpaper
2012
sec-b
q21
easy
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Using LMV Theorem, find a point on the curve $ y=(x-3)^2,$ where the tangent is parallel to the chord joining (3,0) and (5,4).
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q49
p15
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
If f(x) and g(x) are functions derivable in [a,b] such that f(a) = 4, f(b) = 10, g(a) =1, g(b) =3.Show that for a < c < b, we have $ f'(c)=3g'(c).$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q48
p15
math
asked
Jan 28, 2013
by
meena.p
1
answer
It is given that for the function $ f(x)=x^3-6x^2+px+q\;on\;[1,3].$Rolles theorem holds with $ c=2+\large\frac{1}{\sqrt 3}.$Find the values of p and q.
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q47
p15
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
Verify Rolles theorem for the function $ f(x)=\Large e^{1-x^2}$in the interval [-1,1]
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q46
p14
easy
math
asked
Jan 28, 2013
by
meena.p
1
answer
If $ x\sqrt{1+y}+y\sqrt{1+x}=0,\normalsize\; Prove\; that\; \Large\frac{dy}{dx}=\frac{-1}{(1+x)^2}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q45
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=\sqrt{x^2-1} - log \bigg(\Large\frac{1}{x}+\sqrt{1+\frac{1}{x^2}}\bigg),\;\normalsize find\;\Large\frac{dy}{dx}$
cbse
class12
additionalproblem
ch5
q44
p14
medium
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
Differentiate $ \cos^{-1} \bigg[\large\frac{3 \cos x-2 \sin x}{\sqrt {13}}\bigg] w.r.t \; \sin^{-1} \bigg[\large\frac{5\sin x +4 \cos x}{\sqrt{41}}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q43
p14
p406
difficult
math
sec-a
asked
Jan 28, 2013
by
meena.p
1
answer
If $ x=\cos \theta + log \tan \Large\frac{\theta }{2},\normalsize y=\sin \theta \;find\; \Large\frac {d^2y}{dx^2}\normalsize \;at\;\theta =\Large\frac{\pi}{4}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q42
p14
medium
math
sec-a
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y^{ \cos x}+(\tan^{-1}x)^y=1,find \Large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q41
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
If $ y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q40
p14
difficult
math
sec-b
asked
Jan 28, 2013
by
meena.p
1
answer
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