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

Question

Differentiate the function with respect to x : $\sin \left( {ax + b} \right)$

✓

Answer

Let $y = \sin \left( {ax + b} \right)$

$\therefore \frac{{dy}}{{dx}} = \cos \left( {ax + b} \right)\frac{d}{{dx}}\left( {ax + b} \right)$

$= \cos \left( {ax + b} \right)\left( {a + 0} \right)$

$ = a\cos \left( {ax + b} \right)$

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

If $\cot\Big(\cos^{-1}\frac{3}{5}+\sin^{-1}\text{x}\Big)=0,$ find the values of x.

A bag contains $4$ white balls and $2$ black balls. Another contains $3$ white balls and $5$ black balls. If one ball is drawn from each bag, find the probability that,
One is while and one is black.

Represent the following families of curves by forming the corresponding differential equation:
$\text{x}^2+\text{y}^2=\text{a}^2$

Show that $\left[\begin{array}{ccc} {1} & {2} & {3} \\ {0} & {1} & {0} \\ {1} & {1} & {0} \end{array}\right]\left[\begin{array}{rrr} {-1} & {1} & {0} \\ {0} & {-1} & {1} \\ {2} & {3} & {4} \end{array}\right] \neq\left[\begin{array}{rrr} {-1} & {1} & {0} \\ {0} & {-1} & {1} \\ {2} & {3} & {4} \end{array}\right]\left[\begin{array}{lll} {1} & {2} & {3} \\ {0} & {1} & {0} \\ {1} & {1} & {0} \end{array}\right]$

Find the cartesian form of the equation of a plane whose vector equation is:
$\vec{\text{r}}\cdot\big(-\hat{\text{i}}+\hat{\text{j}}+2\hat{\text{k}}\big)=9$

Find $x$ and $y$ if $x+y=\left[\begin{array}{ll}5 & 2 \\ 0 & 9\end{array}\right]$ and $x-y=\left[\begin{array}{cc}3 & 6 \\ 0 & -1\end{array}\right]$

Evaluate the following:
$\cos^{-1}\Big\{\cos\Big(\frac{4\pi}{3}\Big)\Big\}$

Find the angle at which the following vectors are inclined to each of the coordinate axes:
$\hat{\text{j}}-\hat{\text{k}}$

Differentiate the $\cos (\log x + e^x), x > 0$ w.r.t. x.

Construct a $2 \times 2$ matrix $A = [a_{ij}]$ whose elements $a_{ij}$ are given by$: \text{a}_\text{ij}=\text{e}^{2\text{ix}}\sin(\text{xj})$