If y= x then find d y d x - Vidyadip

Question

If $y=\sec \sqrt{x}$ then find $\frac{d y}{d x}$

✓

Answer

$y=\sec \sqrt{x}$
$\frac{d y}{d x}=\frac{d}{d x}(\sec \sqrt{x})$
$\frac{d y}{d x}=\sec \sqrt{x} \tan \sqrt{x} \frac{d}{d x}(\sqrt{x})$
$=\sec \sqrt{x} \cdot \tan \sqrt{x} \frac{.1}{2 \sqrt{x}}$
$\frac{d y}{d x}=\frac{\sec \sqrt{x} \tan \sqrt{x}}{2 \sqrt{x}}$

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 "Solve the Following Question.(2 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

For what value of x, the following matrix is singular?
$\begin{vmatrix}5-\text{x}&\text{x}+1\\2&4\end{vmatrix}$

Write the point where $\text{f}(\text{x})=\text{x}\log_{\text{e}}\text{x}$ attains minimum value.

Write the total number of one-one functions from set A = {1, 2, 3, 4} to set B = {a, b, c}.

Find the second order derivative of the following : $\sin (\log x)$

Find the value of $\cos ^{-1}\left(\frac{1}{2}\right)+\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)$

Using the truth table, show that the statement pattern $p \rightarrow(q \rightarrow p)$ is a tautology.

Find $\vec{\text{a}}.\big(\vec{\text{b}}\times\vec{\text{c}}\big), $ if $\vec{\text{a}}=2\hat{\text{i}}+\hat{\text{j}}+3\hat{\text{k}},\vec{\text{b}}=-\hat{\text{i}}+2\hat{\text{j}}+\hat{\text{k}}$ and $\vec{\text{c}}=3\hat{\text{i}}+\hat{\text{j}}+2\hat{\text{k}}$.

If $\text{P(A)}=0.3,\text{P(B)}=0.6,\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)=0.5,$ find $\text{P}(\text{A}\cup\text{B}).$

A fair coin is tossed five times. Find the probability that it shows exactly three times head.

Write converse, inverse and contrapositive of the following statements. If voltage increases then current decreases.