# Science:Math Exam Resources/Courses/MATH110/December 2010/Question 04 (b)

MATH110 December 2010
Other MATH110 Exams

### Question 04 (b)

Given a differentiable function ${\displaystyle \displaystyle f}$, recall that there are two definitions for ${\displaystyle \displaystyle f'(a)}$ :

${\displaystyle \displaystyle f'(a)=\lim _{x\to a}{\frac {f(x)-f(a)}{x-a}}}$

and

${\displaystyle \displaystyle f'(a)=\lim _{h\to 0}{\frac {f(a+h)-f(a)}{h}}}$

Use one of the definitions given to find the derivative of the function ${\displaystyle f(x)=2x+1}$ at ${\displaystyle x=0}$.

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