Simplify the difference quotients between f(x+h)-f(x)/h and f(x)-f(a)/(x-a), if f(x)=sqrt(x^2-7)

Chardonnay Felix

Chardonnay Felix

Answered question

2021-08-18

Simplify the difference quotients between f(x+h)f(x)handf(x)f(a)xa, if f(x)=x27

Answer & Explanation

estenutC

estenutC

Skilled2021-08-19Added 81 answers

f(x)=x27
f(x+h)=(x+h)27
f(x+h)f(x)h=(x+h)27x27h
=(x+h)27x27h×(x+h)27x27(x+h)27x27
=[(x+h)27][x27]h[(x+h)27+x27]
=(x+h)2x2h[(x+h)27+x27]
=h2+2xhh[(x+h)27+x27]
=h+2x(x+h)27+x27
f(x)=x27,f(a)=a27
f(x)f(a)xa=x27a27xa
=x27a27xa×x27a27x27a27

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?