Знайти похідну функцію y(x)
1)
[tex]y = x[/tex]
2)
[tex]y = - 3[/tex]
3)
[tex]y = {x}^{6} [/tex]
4)
[tex]y = \sqrt{x} [/tex]
5)
[tex]y = \sqrt[3]{x} [/tex]
6)
[tex]y = {x}^{ \frac{3}{4} } [/tex]
7)
[tex]y = \cos(x) [/tex]
8)
[tex]y = \tan(x) [/tex]
9)
[tex]y = {x}^{ - 3} [/tex]
10)
[tex]y = \sin(x) [/tex]
11)
[tex]y = \cot(x) [/tex]
12)
[tex]y = {3}^{x} [/tex]

1) y' = (x)' = 12) y'=(-3)' = 03) y'=(x^6)' = 6x^(6-1)=6x^54) y'=(sqrt(x))' = (x^(1/2))' = 1/2 * x^(1/2-1) = 1/2sqrt(x)5) y'=(x^(1/3))' = 1/3 * x^(1/3-1) = 1/3 * x^(-2/3) 6) y' = (x^(3/4))' = 3/4 * x^(3/4-1) = 3/4 * x^(-1/4)7) y' = -sinx8) y'= 1/(1+x^2)9) y' = -3*x^(-3-1) = -3*x^(-4) = -3/x^410) y' = cosx11) y' = - 1/(1+x^2)12) y' = 3^x * ln3