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Recent questions tagged sec3
Questions
Find points at which the tangent to the curve $y = x^3 - 3x^2 - 9x + 7$ is parallel to the $x$ - axis.
cbse
class12
bookproblem
ch6
sec3
q7
p211
sec-a
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the normal to the curve $ x = 1 - a \sin\theta, y = b \cos^2\theta$ at $ \theta = \Large {\frac{\pi}{2}}$
cbse
class12
bookproblem
ch6
sec3
q6
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the normal to the curve $ x = a \cos^3\theta, \: y = a \sin^3\theta$ at $ \theta =\Large {\frac{\pi}{4}}$.
cbse
class12
bookproblem
ch6
sec3
q5
p211
sec-b
medium
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to the curve $y = x^3 - 3x + 2$ at the point whose $x$ - coordinate is $3$.
cbse
class12
bookproblem
ch6
sec3
q4
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to curve $ y = x^3 - x + 1$ at the point whose $x$ - coordinate is $2$.
cbse
class12
bookproblem
ch6
sec3
q3
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to the curve $\normalsize y =\large { \frac{x-1}{x-2},} \normalsize x \neq 2\; at\;x = 10$
cbse
class12
bookproblem
ch6
sec3
q2
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Find the slope of the tangent to the curve $y = 3x^4 – 4x \; at\; x = 4.$
cbse
class12
bookproblem
ch6
sec3
q1
p211
sec-a
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Let \(f : R - \{ - \frac {4} {3} \} \to R \) be a function defined as \(f(x)= \frac {4x} {3x+4} \) .The inverse of \(f\) is the map \(g\): Range \(f \to R - \{ - \frac {4} {3} \} \) given by
cbse
class12
bookproblem
ch1
sec3
q14
p19
medium
sec-b
math
asked
Nov 19, 2012
by
vaishali.a
1
answer
If $f: R\to R$ be given by $f(x)=(3-x^3)^\frac {1}{3} $, then $fof(x)$ is
cbse
class12
bookproblem
ch1
sec3
q13
p19
sec-a
math
asked
Nov 19, 2012
by
vaishali.a
1
answer
Let \(f : X \to Y\) be an invertible function. Show that the inverse of $f^{-1}$ is $f$, i.e., $(f^{-1})^{-1} = f$.
cbse
class12
bookproblem
ch1
sec3
q12
p19
easy
sec-a
math
asked
Nov 16, 2012
by
vaishali.a
1
answer
Find $\large \frac {dy}{dx} $ in the following: $ y = sec^{-1} \left(\large\frac{1}{2x^2 - 1}\right), 0 < x < \; { \frac{1}{\sqrt2} } \\ $
cbse
class12
bookproblem
ch5
sec3
q15
p169
exercise5-3
easy
sec-a
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Find $\large \frac {dy}{dx} $ in the following: $y = \sin^{-1} \big( 2x \sqrt{1 -x^2} \big), -\;{ \frac{1}{\sqrt2} }\;< x < \;{\frac{1}{\sqrt2} }\\ $
cbse
class12
bookproblem
ch5
sec3
q14
p169
exercise5-3
sec-a
easy
math
asked
Nov 16, 2012
by
thanvigandhi_1
1
answer
Find \( \large\frac {dy}{dx} \) in the following: $ y = cos^{-1} \left(\large\frac{2x}{1 + x^2}\right), -1 < x < 1 $
cbse
class12
bookproblem
ch5
sec3
q13
p169
exercise5-3
sec-b
easy
math
asked
Nov 15, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx} $ in the following:$ y = sin^{-1} \left(\frac{1 - x^2}{1 + x^2}\right), 0 < x < 1 $
cbse
class12
bookproblem
ch5
sec3
q12
p169
exercise5-3
sec-a
easy
math
asked
Nov 15, 2012
by
thanvigandhi_1
1
answer
Find \( \frac {dy}{dx} \) in the following: $y = cos^{-1} \left(\frac{1 - x^2}{1 + x^2}\right), 0 < x < 1 $
cbse
class12
bookproblem
ch5
sec3
q11
p169
exercise5-3
sec-a
medium
math
asked
Nov 15, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx}$ in the following: $y = tan^{-1} \left(\frac{3x - x^3}{1 - 3x^2}\right), - \; { \frac{1}{\sqrt3} } < x < \;{\frac{1}{\sqrt3} }\\ $
cbse
class12
bookproblem
ch5
sec3
q10
p169
exercise5-3
sec-a
easy
math
asked
Nov 15, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx} $ in the following: $ y = sin^{-1} \left(\frac{2x}{1 + x^2}\right) $
cbse
class12
bookproblem
ch5
sec3
q9
p169
easy
sec-a
exercise5-3
math
asked
Nov 15, 2012
by
thanvigandhi_1
1
answer
Consider\(f:\{1,2,3\} \to\{a,b,c\}\) given by \(f(1)=a, \,f(2)=b\) and \(f(3)=c\). Find \(f^{-1} \) and show that \((f^{-1})^{-1} = f\).
cbse
class12
bookproblem
ch1
sec3
q11
p19
easy
sec-a
math
asked
Nov 15, 2012
by
vaishali.a
1
answer
Let \(f : X \to Y\) be an invertible function. Show that \(f\) has unique inverse.
cbse
class12
bookproblem
ch1
sec3
q10
p19
easy
sec-a
math
asked
Nov 15, 2012
by
vaishali.a
1
answer
Consider \(f:R_+ \to [\;\text{–5}, \infty )\)given by \(f(x)=9x^2 +6x\)-\(5\).Show that \(f\) is invertible with \( f^{-1} (y) = \bigg(\frac{(\sqrt{y+6}) -1} { 3}\bigg) \)
cbse
class12
bookproblem
ch1
sec3
q9
p19
medium
sec-b
math
asked
Nov 15, 2012
by
vaishali.a
1
answer
Consider \( f:R_+ \to [4,\infty)\)given by \(f(x)=x^2 +4\). Show that \(f\) is invertible with the inverse \(f^{-1}\)of \(f\) given by \(f^{-1}(y) = \sqrt {y-4}\),where $R_+$ is the set of all non-negative real numbers.
cbse
class12
bookproblem
ch1
sec3
q8
p18
medium
sec-b
math
asked
Nov 14, 2012
by
vaishali.a
1
answer
Consider $f:R \to R$ given by $f(x)=4x+3$. Show that $f$ is invertible. Find the inverse of $ f$
cbse
class12
bookproblem
ch1
sec3
q7
p18
medium
sec-b
math
asked
Nov 14, 2012
by
vaishali.a
1
answer
Show that $f : [-1,1]$ $ \rightarrow R$, given by $f(x) =\frac {x } { (x+2)}$ is one-one. Find the inverse of of the $f : [-1,1] \rightarrow $ Range $ f$.
cbse
class12
bookproblem
ch1
sec3
q6
p18
medium
sec-b
math
asked
Nov 14, 2012
by
vaishali.a
1
answer
Find $ \frac {dy}{dx} $ in the following: $ \sin^2x +\cos^2y = 1 $
cbse
class12
bookproblem
ch5
sec3
q8
p169
exercise5-3
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find \( \frac {dy}{dx} \) in the following: \( sin^2y + cos \: xy = k \)
cbse
class12
bookproblem
ch5
sec3
q7
p169
exercise5-3
sec-b
medium
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx} $ in the following: $ x^3 +x^2y + xy^2 +y^3 = 81 $
cbse
class12
bookproblem
ch5
sec3
q6
p169
exercise5-1
easy
sec-a
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx} $ in the following: $ x^2 +xy + y^2 = 100 $
cbse
class12
bookproblem
ch5
sec3
q5
p169
exercise5-3
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $ \frac {dy}{dx} $ in the following: $ xy +y^2 = tan \: x + y $
cbse
class12
bookproblem
ch5
sec3
q4
p169
exercise5-3
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $\frac {dy}{dx}$ in the following: $ax +by^2 = cos \: y$
cbse
class12
bookproblem
ch5
sec3
q3
p169
sec-a
easy
exercise5-3
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $\frac {dy}{dx}$ in the following: $2x +3y = sin \: y$
cbse
class12
bookproblem
ch5
sec3
q2
p169
exercise5-3
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
Find $\frac {dy}{dx}$ in the following: $2x +3y = sin \: x$
cbse
class12
bookproblem
ch5
sec3
exercise5-3
169
q-1
sec-a
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
State with reason whether following functions have inverse: (iii) \(h: \{2,3,4,5,\} \to \{7,9,11,13\}\) with \(h=\{(2,7),(3,9),(4,11),(5,13) \} \)
cbse
class12
bookproblem
ch1
sec3
q5
p18
q5-3
sec-a
easy
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
If $f(x) = \frac { (4x+3) } { (6x-4) }, x \neq \frac {2} {3}$, show that $ f(x) =x $, for all $ x \neq \frac {2} {3}$. What is the inverse of $f$
cbse
class12
bookproblem
ch1
sec3
q4
p18
medium
sec-b
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
Find \( gof\) and \(fog\), if (i) \( f(x) = |\;x\;| \, and \, g(x) = |\;5x-2\;| \)
cbse
class12
bookproblem
ch1
sec3
q3
q3-1
p18
easy
sec-a
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
Let \(f,\, g\, and\, h\) be functions from \(R\, to\, R.\) Show that \[ (f+g) oh = foh + goh\]
cbse
class12
bookproblem
ch1
sec3
q2
p18
easy
sec-a
q2-1
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
Let $f:\{1,3,4\} \to \{1,2,5\} $ and $g:\{1,2,5\}\to\{1,3\}$ be given by $f = \{(1, 2), (3, 5), (4, 1)\}$ and $ g = \{(1, 3), (2, 3), (5, 1)\}$. Write down $gof$.
cbse
class12
bookproblem
ch1
sec3
q1
p18
easy
sec-a
math
asked
Nov 9, 2012
by
vaishali.a
1
answer
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