JEE MATHEMATICS MCQ: DIFFERENTIATION

1 Easy

1 of 1

Understanding +4 | -1

Use the following table and the fact that

f(x)

is invertible and differentiable everywhere to find

f^{-1}(3)

\begin{array}{ccc}x & f(x) & f^{\prime}(x) \\ 3 & 1 & 7 \\ 6 & 2 & 10 \\ 9 & 3 & 5\end{array}

View answer and explanation

Correct option: B

\frac{1}{5}

Option B (

\frac{{1}}{{5}}

) is correct because it uses the inverse function derivative formula and the given table values.

More Questions from DIFFERENTIATION

Practice All Chapter MCQs →

f(x)=|x|^{|\tan x|}

f^{\prime}\left(\frac{-\pi}{6}\right)

x

y

x>0

x y=1

x+y

f(x)=[x] \sin (\pi x)

[x]

x

x=k, k

f(x)

y = {\sec ^{ - 1}}\left[ {\mathrm{cosec}x} \right] + \mathrm{cose}{\mathrm{c}^{ - 1}}\left[ {\sec x} \right] + {\sin ^{ - 1}}[\cos x] + {\cos ^{ - 1}}[\sin x],

\frac{{dy}}{{dx}}

\frac{d}{d x} \sin ^{-1}\left(3 x-4 x^{3}\right)

z = y + f\left( v \right),

v = \left( {\frac{x}{y}} \right),

v\frac{{\partial z}}{{\partial x}} + \frac{{\partial z}}{{\partial y}}