Simplify the difference Quotient?

f(2+h)f(2)h if h is not 0

f(x)=x26x

2 Answers
Feb 18, 2018

h4

Explanation:

(2+h)26(2+h)(8)h

4+4h+h2126h+8h

h22hh

h2

Feb 18, 2018

h2

Explanation:

f(x)=x26x

f(x+h)f(x)h
=(x+h)26(x+h)(x26x)h
=x2+2xh+h26x6hx2+6xh
=2xh+h26hh
=h(2x+h6)h
=2x+h6

f(2+h)f(2)h
=22+h6
=h2