Question

Encontre a reta tangente à curva f(x) = x2 + 2x +1 no ponto (1,4)

a) 4x


b) 2x + 3


c) 4x - 3


d) x + 2


e) 3x + 5

Answer 1

$f(x)=x^{2}+2x+1 \\ \\ f'(x)=2x+2 \\ \\ m=4 \\ \\ y-y_o=m(x-x_o) \\ \\ y-4=4(x-1) \\ \\ \boxed{\boxed{y=4x}}$