Calcule a derivada de cada função abaixo: (a) f(x) = 3e−3x 2−4x; (b) f(x) = x2sen( √ x); (c) f(x) = √ 3x−5 x+1 ; (d) f(x) = (2x− x2)2/5 cosx3; (e...

Calcule a derivada de cada função abaixo:
(a) f(x) = 3e−3x
2−4x;
(b) f(x) = x2sen(
√
x);
(c) f(x) =
√
3x−5
x+1 ;
(d) f(x) = (2x− x2)2/5 cosx3;
(e) f(x) = e−x
2
tan 2x;
(f) f(x) = 1−2x√
x−1 ;
(g) f(x) =
√
3x− 5 · ln (x− x3);
(h) f(x) = 2x/3 − xe−5x/2;
(i) f(x) = ln (sen(3x− 6));
(j) f(x) = (3x− cos(4x− 1))5.

Calcule a derivada de cada função abaixo

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Ensinando Através de Questões

28/11/2023

💡 1 Resposta

Ed

28.11.2023

(a) f'(x) = -9e^(-3x) + 8
(b) f'(x) = 2xsen(√x) + cos(√x)
(c) f'(x) = (3x + 2) / 2(x+1)^(3/2)
(d) f'(x) = (4/5)(2x - x^2)^(2/5)cos(x^3) - 3(2x - x^2)^(2/5)sen(x^3)x
(e) f'(x) = -2e^(-x^2)tan(2x) + 4xe^(-x^2)sec^2(2x)
(f) f'(x) = -2√(x-1) - (2x/√(x-1))
(g) f'(x) = (3/2(x- x^3)^(1/2)) - (5/(x - x^3))
(h) f'(x) = 2/3 - (5/2)xe^(-5x/2)
(i) f'(x) = (3cot(3x-6))/sen(3x-6)
(j) f'(x) = 5(3x - cos(4x - 1))^4(3 + 4sen(4x - 1))

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