Question

Which limit is the right-hand derivative at \[x=c\]?

Options

• \[\lim_{h\to0^-}\frac{f(c+h)-f(c)}{h}\]

• \[\lim_{h\to0^+}\frac{f(c+h)-f(c)}{h}\]

• \[\lim_{x\to0^+}\frac{f(x)-f(c)}{x}\]

• \[\lim_{h\to c}\frac{f(c+h)-f(c)}{h}\]

Answer 1

The right-hand derivative uses increments \[h\] approaching zero through positive values. It is therefore written with \[h\to0^+\].