Question

plzzz find the derivative of the above
plzz correct ans will be marked and get a follower(i will only follow u without asking for a follow back)
plzz help​

Answer 1

Step-by-step explanation:

$Given:f(x) = x^4(5 sin x - 3 cos x)$

$=>f'(x) =(5 sin x - 3 cos x)\frac{dx^4}{dx} + x^4.\frac{d}{dx}(5 sin x - 3 cos x)$

$=>4x^3(5 sin x - 3 cos x) + x^4[5 \frac{d}{dx}sinx - 3 \frac{d}{dx} cos x]$

$=>4x^3(5 sin x - 3 cos x) + x^4[5 cos x + 3 sin x]$

$=>20x^3 sin x - 12x^3 cosx + 5x^4 cosx + 3x^4 sin x$

$=>sinx(3x^4 + 20x^3) + cosx(5x^4 - 12x^3)$

$=>\boxed{x^3[(3x + 20) sinx + (5x - 12) cos x]}$

Hope it helps!