f(x)=2x squared + 6. what is f(x+h)-f(x) over h?

Question

f(x+h)-f(x)       =    

         h

 

f(x)= 2^x2 + 6

Answer 1

[f(x+h) - f(x)]/h = [2(x+h)² + 6 - (2x² + 6)]/h =

[2(x² + 2xh + h² + 6) - 2x² -6]/h = [2x² + 4xh + 2h² + 6 - 2x² -6]/h =

(4xh + 2h²)/h = 4x + 2h