alleryBy first principles, the derivative of $f$ at $x$ is $\displaystyle\lim_{h\to 0}$ of:
A$\dfrac{f(x)-f(x+h)}{h^2}$
B$f(x+h)-f(x)$
C$\dfrac{f(x+h)+f(x)}{h}$
D$\dfrac{f(x+h)-f(x)}{h}$
Answer & Solution
Correct answer: D. $\dfrac{f(x+h)-f(x)}{h}$
First-principle derivative: lim_{h→0} [f(x+h) − f(x)] / h.
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