Question

y=e^(5x+2). Find dy/dx.

Answer 1

$5e {}^{5x + 2}$

Explanation:

y=e^(5x+2)

Put 5x+2=t

Thus,

y=e^(t)

dy/dx={d(e^t)/dx}×{dt/dx}

dy/dx=e^t × 5 [{d(5x+2)/dx} = 5]

dy/dx= 5e^(5x+2)