Download App

CONTINUITY AND DIFFERENTIABILITY — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsCONTINUITY AND DIFFERENTIABILITY1 Mark
Question
Differentiate the following w.r.t.x: $\log(\log\text{x}),\text{x}>1$
✓

Answer

$\text{Let y}=\ \log(\log\text{x})$
$\therefore\ \frac{\text{dy}}{\text{dx}} =\frac{{1}}{{\log\text{x}}}.\frac{\text{d}}{\text{dx}}(\log\text{x})=\frac{{1}}{{\log\text{x}}}.\frac{\text{1}}{\text{x}}=\frac{1}{\text{x}\log\text{x}}$

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 CONTINUITY AND DIFFERENTIABILITY→CONTINUITY AND DIFFERENTIABILITY — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Write the order and the degree of the following differential equation:
$\text{x}^3\Big(\frac{\text{d}^2\text{y}}{\text{dx}^2}\Big)^2+\text{x}\Big(\frac{\text{dy}}{\text{dx}}\Big)^4=0$
→
Evaluate the following:
$\cos^{-1}(\cos4)$
→
Tell that, division of a sample space is one or more.
→
Prove that the function given by $f\left( x \right) = {x^3} - 3{x^2} + 3x - 100$ is increasing in R.
→
Construct a $3 \times 4$ matrix $A = [a_{ij}]$ whose element $a_{ij}$ are given by:
$a_{ij} = j$
→
Find all points of discontinuity of f, where f is defined by: $f\left( x \right) = \left\{ \begin{gathered} x + 1,\,\,if\,x \geq 1 \hfill \\ {x^2} + 1,\,\,if\,x < 1 \hfill \\ \end{gathered} \right.$
→
Find the integral: $\int \frac{d x}{\sqrt{2 x-x^{2}}}$
→
Compute $\text{P}(\text{A}|\text{B})\ \text{if}\ \text{P}(\text{B})=0.5\ \text{and}\ \text{P}(\text{A}\cap\text{B})=0.32$
→
Evaluate the following:
$\cos^{-1}(\cos12)$
→
Find the value of the expression ${\sin ^{ - 1}}\;\sin \left( {\frac{{2\pi }}{3}} \right)$.
→