Which of the following limits correctly gives the derivative of a function at the point ?

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following limits correctly gives the derivative of a function

f

at the point

x=a

? (a)

\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a-h)}{h}

(b)

\displaystyle \lim_{h\to 0}\dfrac{f(a)-f(a+h)}{h}

(c)

\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h}

(d)

\displaystyle \lim_{h\to 0}\dfrac{f(a+h)-f(a)}{h^{2}}