The derivative of F (x) = (AX + 1) * e ^ x is known

The derivative of F (x) = (AX + 1) * e ^ x is known

Multiply first: F (x) = ax * e ^ x + 1 * e ^ x
f'(x)=a*e^x+ax*e^x+0+1*e^x
=e^x(ax+1+a)