Question

DERIVADA:
f'(X)= x².sen(x) + 2x . cos (X)=

Answer 1

Temos que usar a regra do produto:

$f(x) = x^2*sen(x) +2*x*cos(x) \\\\\\f'(x) = (x^2)'sen(x) + x^2(sen(x))' + 2*(x'cos(x)+x(cos(x))') \\\\\\f'(x) = 2x*sen(x) + x^2*cos(x)+2*(cos(x)-x*sen(x)) \\\\\\f'(x) = 2x*sen(x) + x^2*cos(x) +2*cos(x) -2x*sen(x) \\\\\\f'(x) = (x^2+2)cos(x)$