Question

derivada de f(x)=e^x/2(x²+5x)

Answer 1

f(x)=e^x/2(x²+5x) 

f'(x)=[e^x * (2(x²+5x))  - e^(x) * (2(2x+5))]/[2(x²+5x)]²

f'(x)=[2*e^x * (x²+5x)  - 2e^(x) * (2x+5)]/[2(x²+5x)]²

f'(x)=e^x * [x²+3x-5]/2(x²+5x)²