Download App

Continuity and Differentiability — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSContinuity and Differentiability1 Mark
Question
If $y=\log _7(\log x)$, then find $\frac{d y}{d x}$.
✓

Answer

(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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

For a binomial variate X, if $\text{n}=3$ and $\text{P(X}=1)=8\text{ P(X = 3}),$ then p =
→
If $\text{f(x)}=|\log_{10}\text{x}|\text{fx}=\log_{10}\text{x},$ then at x = 1:
  1. f(x) is continuous and $\text{f}'(1^+)=\log_{10}\text{e}$
  2. f(x) is continuous and $\text{f}'(1^+)=\log_{10}\text{e}$
  3. f(x) is continuous and $\text{f}'(1^-)=-\log_{10}\text{e}$
  4. f(x) is continuous and $\text{f}'(1^-)=-\log_{10}\text{e}$
→
$\int_0^1 \log \left(\frac{1}{x}-1\right) d x$ is equal to :
→
Let $X=\{0,1,2,3\}$ and $Y=\{-1,0,1,4,9\}$ and a function $f: X \rightarrow Y$ defined by $y=x^2$, is
→
The function $f(x)=\left\{\begin{array}{cc}|x-3|, & x \geq 1 \\ \frac{x^2}{4}-\frac{3 x}{2}+\frac{13}{4}, & x<1\end{array}\right.$ is
→
Which of the following is a homogeneous differnetial equation?
→
There are two value of a which makes the determinant $\triangle=\begin{vmatrix}1&-2&5\\2&\text{a}&-1\\0&4&2\text{a}\end{vmatrix}$ equal to $86.$ The sum of these two values is:
→
Let $\begin{vmatrix}\text{x}&2&\text{x}\\\text{x}^2&\text{x}&6\\\text{x}&\text{x}&6\end{vmatrix}=\text{ax}^4+\text{bx}^3+\text{cx}^2+\text{dx}+\text{e}.$ Then, the value of $5a + 4b + 3c + 2d + e$ is equal to:
→
Corner points of the bounded feasible region for an LP problem are A(0, 5) B(0, 3) C(1, 0) D(6, 0). Let z = -50x + 20y be the objective function. Minimum value of z occurs at ______ center point.
  1. (0, 5)
  2. (1, 0)
  3. (6, 0)
  4. (0, 3)
→
If a matrix is of order 2 × 3, then the number of elements in the matrix is:
  1. 5
  2. 6
  3. 2
  4. 3
→