Question

Найти производные функций
х^2-1/х+3
-2х^3+12vx
(X-6)x^3
X^3/2x-3

Answer 1

1)  х^2-1/(х+3)
y! = 2x + 1/(x + 3)^2
2)  -2х^3+12vx
y! = - 6(x^2) + 12/2√x = - 6(x^2) + 6/√x
4) (X-6)x^3 = x^4 - 6(x^3)
y! = 4*(x^3) - 18*(x^2)
5)  X^3/(2x-3)
y! =[ (3x^2)*(2x - 3) - (x^3)*2] / (2x - 3)^2 = [4*(x^3) - 9] / (2x - 3)^2