Question

Determine a primeira derivada da função:

f(x) = 3x²-2x+1 / x³+x-2

Answer 1

f(x) = 3x²-2x+1 / x³+x-2

 

f’(x) = (x³+x-2)(6x-2) - (3x²-2x+1)(3x+1) / (x³+x-2)2

f’(x) = [6x4-2x3+6x2-2x-12x+4 -(9x3+3x2-6x2-2x+3x+10)]/(