найти производную функцию 1)f(x)=x+3 2)f(x)=x^5-x 3)f(x)=1/x-x^3 4)f(x)=x^2+sqrt(x)

(x)\'  = (4х + 5)’ = (4х)’ + (5)’ = 4 * 1 * x^{(1 – 1)} +0 = 4 * x⁰ = 3 * 1 = 4.

f(x)\'  = (5х – 8)’ = (5х)’ – (8)’ = 5 * 1 * x^{(1 – 1)} – 0 = 5 * x⁰ = 5 * 1 = 5.

f(x)\'  = (4x⁵ – 5x⁴.)’ = (4x⁵)’ – (5x⁴)’ = 4 * 5 * x^{(5 – 1)} – 5 * 4 * x^{(4 – 1)} = 20 * x⁴ – 20 * x³ = 20x⁴ – 20x³ = 20x³(x – 1).

f(x)\'  = (x³ – 7x²)’ = (x³)’ – (7x²)’ = 1 * 3 * x^{(3 – 1)} – 7 * 2 * x^{(2 – 1)} = 3 * x² – 14 * x = 3x² – 14x = x(3x – 14).

f(x)\' = (x * (x – 4))’ = (x)’ * (x – 4) + x * (x – 4)’ = (x)’ * (x – 4) + x * ((x)’ – (4)’) = 1 * (x – 4) + x * (1 – 0) = x – 4 + x = 2x – 4.

f(x)\'  = (3 – 2х)’ = (3)’ – (2х)’ = 0 – 2 * 1 * x^{(1 – 1)} = -2 * x⁰ = -2 * 1 = -2.