Question

Пожалуйста, СРОЧНО!!!​

Answer 1

Ответ:

Пошаговое объяснение:

1. f(x) = 3x + 5

f '(x) = 3

2. f(x) = 4x^2 -  5x^3 + 9x

f '(x) = 2*4x - 3*5x^2 + 9 = 8x - 15x^2 + 9

3. f(x) = 3/x + x/3 = 3*x^(-1) + x/3

f '(x) = 3*(-1)*x^(-2) + 1/3 = -3/x^2 + 1/3

4. f(x) = 2/x^2 + 5/x^3 - 7/x = 2x^(-2) + 5x^(-3) - 7x^(-1)

f '(x) = 2*(-2)x^(-3)+ 5*(-3)*x^(-4) - 7*(-1)*x ^(-2) = - 4/x^3 - 15/x^4 + 7/x^2

5. f(x) = √x + 4 = x^(1/2) + 4

f '(x) = (1/2)*x^(1/2-1) = (1/2)*x^(-1/2) = 1/(2*√x)