Calculate the derivitives of the following functions a fx a

Calculate the derivitives of the following functions.

a) f(x) = (a/x^4)-(b/2x^3)+(c/x^2)+(d/3x)-e      (a,b,c,d,e are constants)

b) g\'(64) where g(x) = x^(-2/3)

c) f(u) = (2u^2+3/4+u)

Solution

a) -4a/x^5 + 3b/2x^4 - 2c/x^3-d/3x^2

b) -2/3 x^(-5/3) = -6.51 *10^-4

c) 4u+1