Differentiate the function with respect to x : ( x ) - Vidyadip

Question

Differentiate the function with respect to x : $\cos \left( {\sqrt x } \right)$

✓

Answer

Let $y = \cos \left( {\sqrt x } \right)$

$\therefore \frac{{dy}}{{dx}} = - \sin \sqrt x. \frac{d}{{dx}}\sqrt x $

$ = - \sin \sqrt x .\frac{1}{2}{\left( x \right)^{\frac{{ - 1}}{2}}}$

$= \frac{{ - \sin \sqrt x }}{{2\sqrt x }}$

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 "2 Marks Questions" 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

Find the general solution of the differential equation $\frac{d y}{d x}=\sqrt{4-y^{2}}(-2<y<2)$

Differentiate the $\tan ^{-1}\left(\frac{\sin x}{1+\cos x}\right) \text{w.r.t. x}.$

Find a vector of magnitude 4 units which is parallel to the vector $\sqrt3\hat{\text{i}}+\hat{\text{j}}$.

Find the integral of the function $\frac{1-\cos x}{1+\cos x}$

Check the injectivity and surjectivity of the below function:
$f : Z \rightarrow Z$ given by $f(x) = x^3$

Discuss the applicability of the Rolle's theorem for the following function on the indicated interval
$\text{f}(\text{x})=\sin\frac{1}{\text{x}}\text{ for}-1\leq\text{x}\leq1$

The binary operation *: R × R → R is defined as a * b = 2a + b. Find (2 * 3) * 4.

The probability distribution function oif a random variable $X$ is given by

$X_i$	$0$	$1$	$2$
$P_i$	$3c^3$	$4c - 10c^2$	$5c - 1$

Where $c > 0$
Find: $P(X < 2).$

Evaluate the following:
$\sec^{-1}\Big(\sec\frac{25\pi}{6}\Big)$

Verify that $A^2 = I,$ when $\text{A}=\begin{bmatrix}0&1&-1\\4&-3&4\\3&-3&4\end{bmatrix}.$