Question

find the derivative by the limit process

f(x)=2x^2 + x - 1

Answer 1

\(f^{\prime}(x)=\lim \limits_{\Delta x \rightarrow 0}\dfrac{f(x+\Delta x)-f(x)}{\Delta x}\)

Answer 2

Do you know how to plug in the values?

Answer 3

Here is a link that should help greatly.
Your problem is similar to problem number two.
https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/defderdirectory/DefDer.html

Here is the worked out solution to problem number two in the given example.
https://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/defdersoldirectory/DefDerSol.html#SOLUTION%202

Answer 4

4x+1