New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Differentiation question

2013 · Shift 0 · Q35

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Differentiation
2013 · Shift 0 · Q35

Differentiation question

2013 · Shift 0 · Q35

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

y = \sec \left( {{{\tan }^{ - 1}}x} \right),

then

{{{dy} \over {dx}}}

at

x=1

is equal to :

A
${1 \over {\sqrt 2 }}$
B
${1 \over 2}$
C
$1$
D
$\sqrt 2$

More from Differentiation

$\frac{d ^{2} x}{d y ^{2}}$ equals:2011 · MCQ
Let $f : (- 1, 1) \to R$ be a differentiable function with $f (0) = - 1$ and $f^{'} (0) = 1$ . Let $g (x) = [f (2 f (x) + 2)]^{2}$ . Then $g^{'} (0) =$ …2010 · MCQ
Let $y$ be an implicit function of $x$ defined by $x^{2 x} - 2 x^{x} cot y - 1 = 0$ . Then $y^{'} (1)$ equals2009 · MCQ
If $x^{m} . y^{n} = (x + y)^{m + n},$ then $\frac{d y}{d x}$ is2006 · MCQ
If $x = e^{y + e^{y} + e^{y + .....\infty}}$ , $x > 0,$ then $\frac{d y}{d x}$ is2004 · MCQ
If $f (x) = x^{n},$ then the value of $f (1) - \frac{f ^{'} ( 1 )}{1 !} + \frac{f ^{''} ( 1 )}{2 !} - \frac{f ^{'''} ( 1 )}{3 !} + .......... \frac{( - 1 ) ^{n} f ^{n} ( 1 )}{n !}$ …2003 · MCQ
Let $f (x)$ be a polynomial function of second degree. If $f (1) = f (- 1)$ and $a, b, c$ are in $A . P,$ then $f^{'} (a), f^{'} (b), f^{'} (c)$ are in2003 · MCQ
If $y = (x + 1 + x^{2})^{n},$ then $(1 + x^{2}) \frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x}$ is2002 · MCQ