Diffrentiate the following w.r.t.x (x^2+a^2 ) - Vidyadip

Question

Diffrentiate the following w.r.t.x

$\cos \left(x^2+a^2\right)$

✓

Answer

Let $y=\cos \left(x^2+a^2\right)$ Differentiating w.r.t. $x$, we get $\begin{aligned} & \frac{d y}{d x}=\frac{d}{d x}\left[\cos \left(x^2+a^2\right)\right] \\ & \left.=-\sin \left(x^2+a^2\right) \cdot \frac{d}{d x} x^2+a^2\right) \\ & =-\sin \left(x^2+a^2\right) \cdot(2 x+0) \\ & =-2 x \sin \left(x^2+a^2\right) \end{aligned}$

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

Prove The Theorem : (Section formula for internal division) Let $\mathrm{A}(\bar{a})$ and $\mathrm{B}(\bar{b})$ be any two points in the space and $\mathrm{R}(\bar{r})$ be a point on the line segment $\mathrm{AB}$ dividing it internally in the ratio $m: n$.
Then $\bar{r}=\frac{m \bar{b}+n \bar{a}}{m+n}$

If sinx is an integrating factor of the differential equation $\frac{\text{dy}}{\text{dx}}+\text{Py}=\text{Q}$ than write the value of P.

Fatima and John appear in an interview for two vacancies for the same post. The probability of Fatima's selection is $\frac{1}{7}$ and that of John's selection is $\frac{1}{5}$. What is the probability that,
None of them will be selected?

If $\left|\begin{array}{ccc}4+x & 4-x & 4-x \\ 4-x & 4+x & 4-x \\ 4-x & 4-x & 4+x\end{array}\right|=0$, then find the values of $x$.

If $x^y=e^{x-y}$ then $\frac{d y}{d x}=\ldots .$.

Evaluate the following:
$\sec\Big(\sin^{-1}\frac{12}{13}\Big)$

Write the value of $\begin{vmatrix}\text{a}+\text{ib}&\text{c}+\text{id}\\-\text{c}+\text{id}&\text{a}-\text{ib}\end{vmatrix}$

Evaluate : $\int_0^3 x[x] \cdot d x$, where $[x]$ denote greatest integrate function not greater than $x$.

If $x =\sin \theta, y =\tan \theta$, then find $\frac{ d y}{ d x}$

If $f: C \rightarrow C$ is defined by $f(x)=(x-2)^3$, write $f^{-1}(-1)$.