Download App

Limits and Derivatives — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsLimits and Derivatives1 Mark
MCQ
if a differentiable function $f$ defined for $x > 0$ satisfies the relation $f(x^2) = x^3, x > 0,$ then what is the value of $f(4) ?$
  • A
    $1$
  • B
    $2$
  • ✓
    $3$
  • D
    $4$
✓

Answer

Correct option: C.
$3$

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 "M.C.Q (1 Marks)" from Limits and Derivatives→Limits and Derivatives — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $\alpha $ and $\beta $ are the roots of the equation $375x^2 -25x -2 = 0$, then $\mathop {\lim }\limits_{n \to \infty } \,\sum\limits_{r = 1}^n {{\alpha ^r}}  + \mathop {\lim }\limits_{n \to \infty } \,\sum\limits_{r = 1}^n {{\beta ^r}} $ is equal to
→
If $f(0) = 2,$  then  $\mathop {\lim }\limits_{x \to 0} \frac{{\int\limits_0^x {\left( {tf(x) + xf(t)} \right)dt} }}{{{x^2}}}$ is equal to -
→
The line $x + y = 6$ is a normal to the parabola $y^2 = 8x$ at the point
→
The locus of the point of intersection of the lines $bxt - ayt = ab$ and $bx + ay = abt$ is
→
$z_1$ and $z_2$ are two complex numbers such that $|z_1 + z_2|$ = $1$ and $\left| {z_1^2 + z_2^2} \right|$ = $25$ , then minimum value of $\left| {z_1^3 + z_2^3} \right|$ is
→
One mapping is selected at random from all mappings of the set A = {1, 2, 3, ..., n} into itself. The probability that the mapping selected is one to one is:
→
$\sqrt { - 2} \,\sqrt { - 3} = $
→
If the line $y = mx$ bisects the angle between the lines $ax^2 + 2h xy + by^2 = 0$ then $m$ is a root of the quadratic equation :
→
The $4^{th}$ term in the expansion of $\Big(\sqrt{\text{x}}+\frac{1}{\text{x}}\Big)^{12}$ is:
→
$cosec^2\theta $ = $\frac{4xy}{(x +y)^2}$ is true if and only if
→