Differentiate the following w.r.t. x: (x^2+3 )^ 3 2 ^3 2 x 2^ x^2 - Vidyadip

Question

Differentiate the following w.r.t. x:

$\left(x^2+3\right)^{\frac{3}{2}} \cdot \sin ^3 2 x \cdot 2^{x^2}$

✓

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.(4 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

In $\triangle A B C$, if $\angle A=\frac{\pi}{2}$, then prove that $\sin (B-C)=\frac{b^2-c^2}{b^2+c^2}$

Verify Lagrange’s mean value theorem for the following functions:

$f(x)=\frac{x-1}{x-3}$ on $[4,5]$

Express the following equations in the matrix form and solve them by method of reduction: $2 x-y+z=1, x+2 y+3 z=8,3 x+y-4 z=1$.

Show the equation $2 x^2+x y-y^2+x+4 y-3=0$ represents a pair of lines. Also find the acute angle between them.

Show that the difference between the slopes of lines given by $\left(\tan ^2 \theta+\cos ^2 \theta\right) x^2-2 x y \tan \theta$ $+\left(\sin ^2 \theta\right) y^2=0$ is two.

Solve the following equations by the method of reduction. $x + y + z = 1, 2x + 3y + 2z = 2$ and $x + y + 2z = 4.$

Find the vector equation of the plane passing through the points $A (1,0,1), B (1,-1,1)$ and $C (4,-3,2)$

In any $\triangle ABC$, with usual notations, prove that $b^2=c^2+a^2-2 c a \cos B$.

Show that $\frac{d y}{d x}=\frac{y}{x}$ in the following, where a and $p$ are constants.

$\sec \left(\frac{x^5+y^5}{x^5-y^5}\right)=a^2$

Assume that a spherical raindrop evaporates at a rate proportional to its surface area. If its radius originally is 3 mm and 1 hour later has been reduced to 2 mm, find an expression for the radius of the raindrop at any time t.