Question

Find f’(x).

1. f(x)=x^2-5x+1

2. f(x)=10/x

Answer 1

1) 2x-5 2) -10/x^2

Explanation:

Use power rule and constant rule for the first one:

1) f(x)=x^2-5x^1+1 (x^n)'=nx^(n-1) and (c)'=0

f'(x)=2x^1-5(1)x^0+0

f'(x)=2x-5(1) x^0=1

f'(x)=2x-5

Use just power rule for last one after a rewrite

2) f(x)=10/x

f(x)=10x^(-1) now use power rule

f'(x)=-10x^(-2) =-10/x^2