If y= _7( x), then find d y d x .

MCQ

If $y=\log _7(\log x)$, then find $\frac{d y}{d x}$.

✓
$\frac{1}{x \log 7 \log x}$
B
$\frac{1}{x \log x}$
C
$\frac{x}{\log 7 \log x}$
D
None of these

✓

Answer

Correct option: A.

$\frac{1}{x \log 7 \log x}$

(a) : $y=\log _7(\log x)=\frac{\log (\log x)}{\log 7}$
$
\therefore \frac{d y}{d x}=\frac{1}{\log 7} \cdot \frac{1}{\log x} \cdot \frac{1}{x} \Rightarrow \frac{d y}{d x}=\frac{1}{x \log 7 \log 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 "M.C.Q (1 Marks)" 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

${{{d^n}} \over {d{x^n}}}({e^{2x}} + {e^{ - 2x}}) = $

→

Let $A = \{1, 2, 3, 4\}$ and let $R= \{(2, 2), (3, 3), (4, 4), (1, 2)\}$ be a relation on $A$. Then $R$ is

→

The normal to the curve $x^2=4 y$ passing through $(1,2)$ is:

→

Let a function $f:[0,5] \rightarrow \mathrm{R}$ be continuous. $f(1)=3$ and $\mathrm{F}$ be defined as

$\mathrm{F}(\mathrm{x})=\int\limits_{1}^{\mathrm{x}} \mathrm{t}^{2} \mathrm{g}(\mathrm{t}) \mathrm{dt},$ where $\mathrm{g}(\mathrm{t})=\int\limits_{1}^{\mathrm{t}} \mathrm{f}(\mathrm{u}) \mathrm{du}$

Then for the function $\mathrm{F}$, the point $\mathrm{x}=1$ is

→

If A and B are two events, then $\text{P}(\overline{\text{A}}\cap\text{B})=$

→

Let the shortest distance between the lines $L : \frac{ x -5}{-2}=\frac{ y -\lambda}{0}=\frac{ z +\lambda}{1}, \lambda \geq 0$ and $L _1: x +1= y -$ $1=4-z$ be $2 \sqrt{6}$. If $(\alpha, \beta, \gamma)$ lies on $L$, then which of the following is NOT possible?

→

Choose the correct answer from the given four option. Family $y = Ax + A^3$ of curves is represented by the differential equation of degree:

→

Maximize $Z=7 x+11 y$, subject to $3 x+5 y \leq 26$, $5 x+3 y \leq 30, x \geq 0, y \geq 0$.

→

Consider the differential equation $\frac{{dy}}{{dx}} = \frac{{{y^3}}}{{2(x{y^2} - {x^2})}}$

Statement $-1:$ The substitution $z = y^2$ transforms the above equation into a first order homogenous differential equation.