Question

Calcule a derivada de f(x)=x^2-3/2x^3

Answer 1

f(x)=x^2-3/2x^3

regra do quociente:

f'(x)  = ( 2x. 2x³ - 6x².(x²-3) / (2x³)²

f´(x) = (4x⁴ - 6x⁴ - 18x²) / 4x⁶ 

f´(x) = -2x⁴ - 18x² / 4x⁶