Ola Monique
f(x) = e^(1-x³)/(x³ - 2)
f(x) = k(x)/g(x)
derivada de um quociente
(k/g)´ = (k'g + kg')/g²
k(x) = e^(1-x³)
k'(x) = -3*x²*e^(1-x³)
g(x) = x³ - 2
g'(x) = 3x²
(k'g + kg')/g² =
f'(x) = (-3*x²*e^(1-x³)*(x³ - 2) + e^(1-x³)*3x²)/(x³ - 2)²
f'(x) = -3*e^(1-x³)*x²*(x³ - 1)/(x³ - 2)²
pronto
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Ola Monique
f(x) = e^(1-x³)/(x³ - 2)
f(x) = k(x)/g(x)
derivada de um quociente
(k/g)´ = (k'g + kg')/g²
k(x) = e^(1-x³)
k'(x) = -3*x²*e^(1-x³)
g(x) = x³ - 2
g'(x) = 3x²
(k'g + kg')/g² =
f'(x) = (-3*x²*e^(1-x³)*(x³ - 2) + e^(1-x³)*3x²)/(x³ - 2)²
f'(x) = -3*e^(1-x³)*x²*(x³ - 1)/(x³ - 2)²
pronto