Найдите производную функции:а)y=x^2*e^x б)y=ln(5x^2+9) Найдите точки экстремума функции:y=6x^2-x^3

f(x) = (2x^4 x^2 + 1) = (2x^4) (x^2) + (1) = 2 * 4 * x^(4 1) 2 * x^(2 - 1) 0 =

8 * x^3 2 * x^1 = 8x^3 2x.

f(x) = ((1 / 2) * x^2 (1 / 5) * x^5) = ((1 / 2) * x^2) ((1 / 5) * x^5) = (1 / 2) * 2 * x^(2 - 1) (1 / 5) * 5 * x^(5 - 1) = 1 * x^1 1 * x^4 = x x^4.

f(x) = (x^2 - 3x + 1) = (x^2) (3x) + (1) = 2 * x^(2 1) 3 * x^(1 - 1) 0 = 2x 3.

f(x) = (3 2x + 4x^2 7x^3) = (3) (2x) + (4x^2) (7x^3) = 0 2 * x^(1 1) + 4 * 2 * x^(2 - 1) 7 * 3 * x^(3 1) = -2 * x^0 + 8 * x^1 21 * x^2 = -2 + 8x 21x^2.

f(x) = (x^5 + x^3 x^2 1) = (x^5) + (x^3) (x^2) (1) = 5 * x^(5 1) + 3 * x^(3 1) 2 * x^(2 1) 0 = 5x^4 + 3x^2 2x.