Question

derivada f(x)=(x^2+4x-5)^4
reposta 8(x+2)(x^2+4x-5)^3

Answer 1

$f(x) = (x^2+4x-5)^4\\\\Regra\ da\ Cadeia\\\\f(u)=u^4\\f'(u)=4u^3\\\\u(x)=x^2+4x-5\\u'(x)=2x+4\\\\f'(x)=f'(u)\cdot{u'(x)}\\f'(x)=4u^3\cdot(2x+4)\\f'(x)=4\cdot(x^2+4x-5)^3\cdot(2x+4)\\f'(x)=(8x+16)\cdot(x^2+4x-5)^3$