{d over {dx}}({x^2}{e^x}sin x) = | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(a) $\frac{d}{{dx}}\left( {{x^2}{e^x}\sin x} \right) = {x^2}\frac{d}{{dx}}\left( {{e^x}\sin x} \right)$$ + {e^x}\sin x\frac{d}{{dx}}({x^2})$
$ = x{e^

Vedclass · Accepted Answer

$x\,{e^x}(2\sin x + x\sin x + x\cos x)$

Vedclass · Answer

(a) $\frac{d}{{dx}}\left( {{x^2}{e^x}\sin x} \right) = {x^2}\frac{d}{{dx}}\left( {{e^x}\sin x} \right)$$ + {e^x}\sin x\frac{d}{{dx}}({x^2})$
$ = x{e^x}(2\sin x + x\sin x + x\cos x)$.

${d \over {dx}}({x^2}{e^x}\sin x) = $

Similar Questions

A cuboidal block has dimension $(1.5 × 1.5 × 1.0)\ \ cm$ what is the surface area of cuboid (in $cm^2$)

If $log_{10} (xy) = 2$, then the value of $xy$ is

The coordinates of a particle moving in $XY$-plane vary with time as $x=4 t ^2 ; y=2 t$. The locus of the particle is a :-

Magnitude of slope of the shown graph.

The side of a square is increasing at the rate of $0.2\,cm / s$. The rate of increase of perimeter w.r.t. time is $...........\,cm / s$