Question

utilizando a regra do quociente, determine a derivada da funçao dy/dx se x³+2x²-1/x+5

Answer 1

Resposta:

dy/dx = [(x³+2x²-1)'*(x+5) -(x³+2x²-1)*(x+5)']/(x+5)²

dy/dx = [(3x²+4x)*(x+5) -(x³+2x²-1)]/(x+5)²

dy/dx = [3x³+4x²+15x²+20x -x³-2x²+1]/(x+5)²

dy/dx = [2x³+17x²+20x +1]/(x+5)²