Question

1.- If f(x)= x^8, then f'(x) =

2.- If g(x)= -4x^4 then g'(x) =
3.- If h(x)= 1/x^5 then h'(x) =

Answer 1

1.

f'(x) = 8 · x^(8-1) = 8·x^7

2.

g'(x) = -4· 4·x^(4-1) = -16·x^3

3.

h(x) = 1/x^5 = x^(-5), so

h'(x) = -5·x^(-5-1) = -5·x^(-6) or -5 / x^6