How would I find the derivative of $f(x)=2x^{2}+2x+1?$ I know that $f'(x)=4x+2$ using the power rule, but but how should I solve it using difference quotient, can someone please show the step by step procedure? Thank you so much!
[Math] Derivative using difference quotient
calculusderivatives
Best Answer
computing the difference quotient we obtain $$\frac{f(x+h)-f(x)}{h}=\frac{2(x+h)^2+2(x+h)+1-2x^2-2x-1}{h}$$ simplify it and compute the limit for $$h\to0$$