Let f(x)=x^3-2x. Calculate the difference quotient f(3+h)-f(3)/h

Question

h=.1

h=0.1

Answer 1

Hi Tiffany!

this question is just matter of plug in

f(3+h)=f(3+0.1)=f(3.1)=(3.1)^3-2(3.1)

f(3)=(3)^3-2(3)

so [f(3+h)-f(3)]/h =[(3.1)^3-2(3.1)-(3)^3+2(3)]/0.1

you can finish the calculation