Question

Calcule a derivada da função : y = ( x 2 + 2 x ) 2

Answer 1

Y = (x²+2x)²

Y' = 2(x²+2x)²⁻¹(x²+2x)'

Y' = 2(x²+2x)¹(2x²⁻¹+1*2x¹⁻¹)

Y' = 2(x²+2x)(2x¹ + 2x⁰)

Y' = 2(x²+2x)(2x + 2*1)

Y' = 2(x²+2x)(2x+2)

Y' = 2(x²+2x)2(x + 1)

Y' = 4(x²+2x)(x+1)