Recent questions in Continuity and Differentiability

Find the standard derivative of $\; \large \frac{d(sec^{-1}x)}{dx}$ , given $|x|>1$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $\large \frac{d(cot^{-1}x)}{dx}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $\large \frac{d(tan^{-1}x)}{dx}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $\large \frac{d(cos^{-1}x)}{dx}$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Find the standard derivative of: $\; \large \frac{d(sin^{-1}x)}{dx}$ .

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 $g(x)$ .

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 $x=g(t)$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of $\; \large \frac{d(u^v)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of: $\; \large \frac{d(uv)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of: $\large \frac {d (\frac{u}{v})}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\large \frac {d (\log_a x)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \log_ex$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(a^x)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(e^x)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cotx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(secx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cosecx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(tanx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cosx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(sinx)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\; \large \frac{d(cx^n)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the derivative of the standard function: $\large \frac{d(x^n)}{dx}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of: $\;$ $\lim_{x\to \infty} \large \frac{sinx}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim\limits_{x\to 0} (1+\frac{1}{x})^{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} log(1+x)^{\frac{1}{x}}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{log(1+x)}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{a^x-1}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;$ $\lim_{x\to 0} \large \frac{e^x-1}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\lim_{x\to 0} \large \frac{sin^{-1}x}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\lim_{x\to 0} \large \frac{tan^{-1}x}{x}$ ?

asked Apr 4, 2013 by balaji.thirumalai

1 answer

What is the value of $\;\lim_{x\to 0} \large \frac{tanx}{x}$ ?

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: $\;\lim_{x\to a} \large \frac{x^n-a^n}{x-a}$ ?

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.

asked Apr 4, 2013 by balaji.thirumalai

1 answer

True or False: Every Constant Function is Continous

asked Apr 4, 2013 by balaji.thirumalai

1 answer

True or False; Every Continous Function is Differntiable.

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?

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.

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Differentiate each of the following w.r.t $x$ : $tan^{-1}\large\frac{3a^2x-x^3}{a^3-3ax^2}$ , $\frac{1}{\sqrt 3}< \frac{x}{a} <\frac{-1}{\sqrt 3}$

asked Feb 19, 2013 by sreemathi.v

1 answer

Find $\large \frac{dy}{dx}$ if $( (x^2+y^2)^2=xy)$

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).

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 $f'(c)=3g'(c).$

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.

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]

asked Jan 28, 2013 by meena.p

1 answer

If $x\sqrt{1+y}+y\sqrt{1+x}=0,\normalsize\; Prove\; that\; \Large\frac{dy}{dx}=\frac{-1}{(1+x)^2}$

asked Jan 28, 2013 by meena.p

1 answer

If $y=\sqrt{x^2-1} - log \bigg(\Large\frac{1}{x}+\sqrt{1+\frac{1}{x^2}}\bigg),\;\normalsize find\;\Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

Differentiate $\cos^{-1} \bigg[\large\frac{3 \cos x-2 \sin x}{\sqrt {13}}\bigg] w.r.t \; \sin^{-1} \bigg[\large\frac{5\sin x +4 \cos x}{\sqrt{41}}\bigg]$

asked Jan 28, 2013 by meena.p

1 answer

If $x=\cos \theta + log \tan \Large\frac{\theta }{2},\normalsize y=\sin \theta \;find\; \Large\frac {d^2y}{dx^2}\normalsize \;at\;\theta =\Large\frac{\pi}{4}$

asked Jan 28, 2013 by meena.p

1 answer

If $y^{ \cos x}+(\tan^{-1}x)^y=1,find \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

If $y=f \bigg(\Large\frac{2x-1}{x^2+1}\bigg)\;\normalsize and\;f' (x)=\sin x^2,\;find\; \Large\frac{dy}{dx}$

asked Jan 28, 2013 by meena.p

1 answer

Ask Questions, Get Answers