Calculus Derivative of Radical, Rational, Sin, Cos Functions

Find the Derivative:

 $f\left(x\right)=\frac{3}{x}-\frac{4}{x^3}+\frac{5}{x^6}$  

•  $f'\left(x\right)=-\frac{3}{x^2}+\frac{12}{x^4}-\frac{30}{x^7}$  

•  $f'\left(x\right)=\frac{3}{x^2}-\frac{12}{x^4}+\frac{30}{x^7}$  

•  $f'\left(x\right)=-\frac{3}{x^0}+\frac{12}{x^2}-\frac{30}{x^5}$  

•  $f'\left(x\right)=\frac{3}{x^0}-\frac{12}{x^2}+\frac{30}{x^5}$  

Find the Derivative:

 $f\left(x\right)=-\frac{2}{x^3}-\frac{3}{x^4}+\frac{4}{x^5}+\frac{5}{6}$  

•  $f'\left(x\right)=\frac{6}{x^4}+\frac{12}{x^5}-\frac{20}{x^6}$  

•  $f'\left(x\right)=\frac{6}{x^4}+\frac{12}{x^5}-\frac{20}{x^6}-\frac{30}{7}$  

•  $f'\left(x\right)=-\frac{6}{x^4}-\frac{12}{x^5}+\frac{20}{x^6}$  

•  $f'\left(x\right)=\frac{2}{x^4}+\frac{3}{x^5}-\frac{4}{x^6}$  

Find dy/dx if

 $y=\frac{7}{x^5}$  

•  $\frac{\text{d}y}{\text{d}x}=-\frac{35}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{35}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=-\frac{7}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{7}{x^6}$  

Find dy/dx if

 $y=-\frac{7}{x^5}$  

•  $\frac{\text{d}y}{\text{d}x}=-\frac{35}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{35}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=-\frac{7}{x^6}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{7}{x^6}$  

Find the derivative of:    $f\left(x\right)=7\sqrt{x^5}$  

•  $f'\left(x\right)=\frac{35}{2}\sqrt{x^3}$  

•  $f'\left(x\right)=\frac{7}{2}\sqrt{x^5}$  

•  $f'\left(x\right)=\frac{35}{2}\sqrt{x^4}$  

•  $f'\left(x\right)=\frac{14}{5}\sqrt{x^3}$  

• a

• b

• c

• d

Find dy/dx if:    $y=\frac{2}{3}x^6-\frac{5}{2}x^4+\frac{7}{3}x^2-8$  

•  $\frac{\text{d}y}{\text{d}x}=4x^5-10x^3+\frac{14}{3}x-8$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{2}{18}x^5-\frac{5}{8}x^3+\frac{14}{3}x$  

•  $\frac{\text{d}y}{\text{d}x}=4x^5-10x^3+\frac{14}{3}x$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{2}{18}x^5-\frac{5}{8}x^3+\frac{14}{3}x-8$