91Ó°ÊÓ

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=2 x^{2}+5$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=\frac{-1}{x-2}$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=\frac{2+x}{1-x}$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=\frac{5-2 x}{3+2 x}$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=\sqrt{1+3 x}$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=3 x^{3}-x^{2}+2 x+5$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=5$$

For the following exercises, use the definition of derivative \(\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}\) to calculate the derivative of each function. $$f(x)=5 \pi$$

For the following exercises, find the average rate of change between the two points. $$(-2,0) \text { and }(-4,5)$$

For the following exercises, find the average rate of change between the two points. $$(4,-3) \text { and }(-2,-1)$$