find the difference quotient of f and find f'(c) by computing the limit of the difference quotient

f(x)=2x^2 at c=2

can someone please do a step by step using x+h not some other ish. I am just not getting it.

Question

find the difference quotient of f and find f'(c) by computing the limit of the difference quotient

f(x)=2x^2 at c=2 

can someone please do a step by step using x+h not some other ish. I am just not getting it.

anonymous · Answer

I went from 2(x+h)^2-2x^2 / h to 4xh+h^2 / h factored out an h got 4x+2h can someone explain to me the last part

anonymous · Answer

last part is letting h go to zero and getting 
$$f'(x)=4x$$ and so 
$$f'(2)=8$$