Download App

Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]2 Marks
Question
Let $f(x) = x^5 + 2x – 3$ find $\left(f^{-1}\right)^{\prime}(-3)$
✓

Answer

$f(x)=x^5+2 x-3$
Differentiating w.r.t. $x$, we get
$f^{\prime}(x)=5 x^4+2$
At $y=-3, x=0$
$ \therefore\left(f^{-1}\right)^{\prime}(-3)=\frac{1}{f^{\prime}(0)}$
$=\frac{1}{5(0)^4+2}$
$=\frac{1}{2} $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Let * be a binary operation on N given by a * b = HCF (a, b), a, b ∈ N. Write the value of 22 * 4.
→
If matrix $\text{A}=\begin{bmatrix}2&-2\\-2&2 \end{bmatrix}$ and $A^2= pA$, then write the value of p.
→
Let * be a binary operation on Q - {-1} defined by a * b = a + b + ab for all a, b ∈ Q - {-1}. Then,
Find the identity element in Q − {−1}.
→
Evaluate the following integrals:
$\int\sqrt{1+\text{e}^\text{x}}\text{ e}^\text{x}\text{dx}$
→
Let $\text{f}:\Big(-\frac{\pi}{2},\frac{\pi}{2}\Big)\rightarrow\ \text{R}$ be a function defined by f(x) = cos[x]. write range (f).
→
Show that each of the following equation represents a pair of lines : $4 x^2+4 x y+y^2=0$
→
If $\vec{\text{a}}\text{ and }\vec{\text{b}}$ denote the position vectors of points A and B respectively and C is a point on AB such that 3AC = 2AB, then write the position vector of C.
→
Construct a $2 \times 2$ matrix $A = [a_{ij}]$ whose elements $a_{ij}$​​​​​​​ are given by:
$\text{a}_\text{ij}=\frac{(\text{i}-\text{j})^2}{2}$
→
Solve the following differential equations:

$\frac{d y}{d x}+\frac{y}{x}=x^3-3$

→
In $\triangle ABC$, prove that $a (\cos C -\cos B )=2( b - c ) \cos ^2\left(\frac{A}{2}\right)$
→