Definition of the Derivative

Use the definition of the derivative to find the derivative of with f(x) respect to x.

 $f\left(x\right)=3x+1$  

(a)  

Use the definition of the derivative to find the derivative of h(x) with respect to x.

 $f\left(x\right)=-2x^2+7$  

(a)  

Use the definition of the derivative to find the derivative of f(x) with respect to x.

 $f\left(x\right)=x^2-4x$  

(a)  

Use the definition of the derivative to find the derivative of f(x) with respect to x.

 $f\left(x\right)=\sqrt{2x+1}$  

•  $2$  

•  $\sqrt{2x}$  

•  $\frac{1}{\sqrt{2x+1}}$  

•  $2\sqrt{2x}$  

Use the definition of the derivative to find the derivative of f(x) with respect to x.

 $f\left(x\right)=\frac{3}{5x}$  

•  $-\frac{3}{5x^2}$  

•  $-\frac{3}{5}x^2$  

•  $\frac{3}{5x}$  

•  $\frac{3}{5}x$  

Use the definition of the derivative to find the derivative of f(x) with respect to x.

 $f\left(x\right)=-\frac{2}{x-4}$  

•  $f'\left(x\right)=-\frac{2}{\left(x-4\right)^2}$  

•  $f'\left(x\right)=\frac{2}{\left(x-4\right)^2}$  

•  $f'\left(x\right)=2\left(x-4\right)^2$  

•  $f'\left(x\right)=2x-8$