Question

A derivada da função f(x) = 2x100+3x50+4x25+x é: Escolha uma: a. f'(x) =2x99+3x49+4x24+1 b. f'(x) =200x99+150x49+100x24+x c. f'(x) =200x99+150x49+100x24+1. d. f'(x) = x100+x50+x25+x e. f'(x) =x99+x49+x24+1

Answer 1

Letra C.

$f(x)=2x^{100}+3x^{50}+4x^{25}+x \\ f'(x)=2 \cdot 100x^{99}+3 \cdot 50 x^{49} + 4 \cdot 25 x^{24} + 1 \\ f'(x)=200x^{99} + 150x^{49}+100x^{24}+1$