1) y = 14
y'=14' = 0
2) 
3)y = 5x - 1
y' = 5*x' - 1' = 5 * 1 - 0 = 5
4) y = x¹⁶
y' = (x¹⁶)' = 16x¹⁵
5) y = 6x⁷
y' = 6 *(x⁷)' = 6 * 7x⁶ = 42x⁶
6) y = 2x⁸
y' = 2 * (x⁸)' = 2 * 8x⁷ = 16x⁷
7) 
8) y = eˣ
y' = (eˣ)' = eˣ
9) 
10) y = - 13Cosx
y' = - 13 * (Cosx)' =- 13 * ( - Sinx) = 13Sinx
11) 
12) ![y=\frac{6}{\sqrt[3]{x} }=\frac{6}{x^{\frac{1}{3} } }=6x^{-\frac{1}{3} }\\\\y'=6*(x^{-\frac{1}{3} })'=6*(-\frac{1}{3}x^{-\frac{4}{3} })=-2x^{-\frac{4}{3} }=-2*\frac{1}{x^{\frac{4}{3} } } =-\frac{2}{\sqrt[3]{x^{4} } }=-\frac{2}{x\sqrt[3]{x} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B6%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D%3D%5Cfrac%7B6%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%7D%3D6x%5E%7B-%5Cfrac%7B1%7D%7B3%7D%20%7D%5C%5C%5C%5Cy%27%3D6%2A%28x%5E%7B-%5Cfrac%7B1%7D%7B3%7D%20%7D%29%27%3D6%2A%28-%5Cfrac%7B1%7D%7B3%7Dx%5E%7B-%5Cfrac%7B4%7D%7B3%7D%20%7D%29%3D-2x%5E%7B-%5Cfrac%7B4%7D%7B3%7D%20%7D%3D-2%2A%5Cfrac%7B1%7D%7Bx%5E%7B%5Cfrac%7B4%7D%7B3%7D%20%7D%20%7D%20%3D-%5Cfrac%7B2%7D%7B%5Csqrt%5B3%5D%7Bx%5E%7B4%7D%20%7D%20%7D%3D-%5Cfrac%7B2%7D%7Bx%5Csqrt%5B3%5D%7Bx%7D%20%7D "y=\frac{6}{\sqrt[3]{x} }=\frac{6}{x^{\frac{1}{3} } }=6x^{-\frac{1}{3} }\\\\y'=6*(x^{-\frac{1}{3} })'=6*(-\frac{1}{3}x^{-\frac{4}{3} })=-2x^{-\frac{4}{3} }=-2*\frac{1}{x^{\frac{4}{3} } } =-\frac{2}{\sqrt[3]{x^{4} } }=-\frac{2}{x\sqrt[3]{x} }")