Question

Questão de derivada, calculo 1

Answer 1

Resposta:

Regra do quociente

f=v/u

f'=(v'*u-v*u')/v²

f(x)=(e^x+10)/(5x²+sen(x))

f'(x)=[(e^x+10)'*(5x²+sen(x))-(e^x+10)*(5x²+sen(x))']/(5x²+sen(x))²

f'(x)=[e^(x)*(5x²+sen(x))-(e^x+10)*(10x+cos(x))]/(5x²+sen(x))²