Download App

Derivatives — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSDerivatives1 Mark
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 "(Each question 1 marks)" from Derivatives→Derivatives — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $(\cos\alpha+\cos\beta)^2+(\sin\alpha+\sin\beta)^2=\lambda\cos^2\Big(\frac{\alpha-\beta}{2}\Big),$ write the value of $\lambda.$
→
Show the following quadratic equation by factorization method: $x^2 + 1 = 0$
→
Evaluate $\mathop {\lim }\limits_{r \to 1} \;\pi {r^2}$
→
For the following statements, determine whether an inclusive "OR" or exclusive "OR" is used. Give reasons for your answer. Students can take Hindi or Sanskrit as their third language.
→
Let a sample space be S = {$\omega_1, \omega_2,..., \omega_6$}. Which of the following assignments of probabilities to each outcome are valid?
Outcomes $\omega_1$ $\omega_2$ $\omega_3$ $\omega_4$ $\omega_5$ $\omega_6$
0.1 0.2 0.3 0.4 0.5 0.6
→
Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.
→
Is the set of lines which are parallel to the x-axisfinite or infinite?
→
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol$\in$or $\notin$on the blank space: 5. . . A
→
P(A) P(B) P(A$\cap$B) P(A$\cup$B)
$\frac 13$ $\frac 15$ $\frac 1{15}$ _____
→
Write the negation of the following statements: Every natural number is an integer.
→