Question

calcule a derivada de f(x)=(x2-2x)(3x+5) no ponto x=2.

Answer 1

$f(x) = (x^2-2x)(3x+5)\\ \\f(x)=3x^3 + 5x^2 - 6x^2 - 10x \\ \\f(x)=3x^3-x^2-10x \\ \\ f'(x)=9x^2-2x-10\\ \\f'(2)=9(2)^2 - 2(2) - 10\\ \\f'(2)=9.4-4-10\\ \\f'(2)=36-4-10\\ \\f'(2)=22$

Resposta: f'(2) = 22

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