Differentiate the following w.r.t. x: ^ -1 [ x(3-x) 1-3 x ] - Vidyadip

Question

Differentiate the following w.r.t. x:

$\tan ^{-1}\left[\frac{\sqrt{x}(3-x)}{1-3 x}\right]$

✓

Answer

Get the step-by-step solution for this question inside the Vidyadip app.

Get the answer in the app

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 "Solve the Following Question.(3 Marks)" from Differentiation→Differentiation — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find an angle $\theta$
Which increases twice as fast as its cosine.

If $y=A e^{m x}+B e^{n x}$, show that $y_2-(m+n) y_1+(m n) y=0$.

Evaluate the following integrals:$\int\text{e}^{\text{x}}(\tan\text{x}-\log\cos\text{x})\text{dx}$

Diffrentiate the following w. r. t. x.$\operatorname{cosec}^{-1}\left(\frac{1}{4 \cos ^3 2 x-3 \cos 2 x}\right)$

Write the maximum value of $\text{f}(\text{x})=\frac{\log\text{x}}{\text{x}}$, if it exists.

Find the points o local maxima or local minima, if any, of the following functions, using the first derivatives test. Also, find the local maximum or local minimum values, as the case may be:
$\text{f}(\text{x})=\cos{\text{x}},0\leq\text{x}\leq\pi$

Find the vector equation of the plane passing through points A (l, 1, 2), B (0, 2, 3) and C (4, 5, 6).

Find the mean and standard deviation of the following probability distributions:

$\text{x}_\text{i}$	$-5$	$-4$	$1$	$2$
$\text{p}_\text{i}$	$\frac{1}{4}$	$\frac{1}{8}$	$\frac{1}{2}$	$\frac{1}{8}$

If $\bar{a}=\hat{i}+2 \hat{j}+3, \bar{b}=3 \hat{i}+2 \hat{j}$ and $\bar{c}=2 \hat{i}+\hat{j}+3$ then verify that $\bar{a} \times(\bar{b} \times \bar{c})=(\bar{a} \cdot \bar{c})$

$\bar{b}-(\bar{a} \cdot \bar{b}) \bar{c}$

Let $R^{+}$be the set of all non-negative real numbers. If $f: R^{+} \rightarrow R^{+}$and $g: R^{+} \rightarrow R^{+}$are defined as $f(x)=x^2$ and $\mathrm{g}(\mathrm{x})=+\sqrt{\mathrm{x}}$, find fog and gof. Are they equal functions?