If f(x)= _ x^2 x^3 write the value of f'(x). - Vidyadip

Question

If $\text{f}(\text{x})=\log_{\text{x}^2}\text{x}^3$ write the value of f'(x).

✓

Answer

Given,

$\text{f}(\text{x})=\log_{\text{x}^2}\text{x}^3$

$=\frac{\log\text{x}^3}{\log\text{x}^2}$

$=\frac{3\log\text{x}}{2\log\text{x}}$

$=\frac{3}{2}$

$\text{f}'(\text{x})=0$

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 "1 Marks Question" from Derivatives→Derivatives — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

Rewrite the following statements in the form "p if and only if q".
r: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.

Reduce the equation into slope-intercept form and find the slope and the y-intercept.
x + 7 y = 0

Describe the following sets in Roster form:
$\{\text{x}\in\text{N}:\text{x}^2 < 25\};$

Find the union pair of set: A = {a, e, i, o, u} and B = {a, b, c}

Write the value of $\cos1^\circ+\cos2^\circ+\cos3^\circ+\ ...\ +\cos180^\circ.$

Check the validity of the following statements:
p: 100 is a multiple of 4 and 5.

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow\frac{1}{4}}\frac{4\text{x}-1}{2\sqrt{\text{x}}-1}$

Taking the set of natural numbers as the universal set, write down the complement of the set: {x : x is a positive multiple of 3}

What universal sets would you propose for the following:

The set of right triangles.

A group consist of 4 girls and 7 boys. In how many ways, a team of 5 members be selected, if the team has no girl?