The derivative at x=a is the limit of secant slopes, defined as:

\lim{h \to 0} \dfrac{f(a+h)-f(a)}{h} Definition of derivative: f'(a) = \lim{h\to 0} \frac{f(a+h) - f(a)}{h}.

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

Defining the Derivative and Using Derivative Notation

AP Calculus AB· difficulty 3/5

x=a

Explanation

f'(a) = \lim_{h\to 0} \frac{f(a+h) - f(a)}{h}

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