Derivatives with Chain Task

Set up the derivative of

 $y=\left(3x^5-10x\right)^{23}$  

•  $23\left(3x^5-10x\right)^{22}\left(15x^4-10\right)$  

•   $23\left(15x^4-10\right)^{22}$  

•  $23\left(3x^5-10x\right)^{22}\left(15x-10\right)$  

•  $23\left(15x^4-10\right)^{22}\left(3x^5-10x\right)$  

Find the derivative of 
 $f\left(x\right)=\sqrt{5x^2+4}$  

•  $\frac{1}{2\sqrt{10x}}$  

•  $\frac{5x}{\sqrt{5x^2+4}}$  

•  $\frac{1}{20x\sqrt{5x^2+4}}$  

•  $\frac{5x^2+4}{2\sqrt{10x}}$  

Find the derivative of

 $y=\cot\left(9x\right)$  

•  $\csc^2\left(9x\right)$  

•  $-\csc^2\left(9x\right)$  

•  $9\csc^2\left(9x\right)$  

•  $-9\csc^2\left(9x\right)$  

Set up the derivative of 

 $f\left(x\right)=\frac{\sin^2x}{x^5}$  

•  $\frac{5x^4\sin^2x-2x^5\sin x\cos x}{x^{10}}$  

•  $\frac{2x^5\sin x\cos x-5x^4\sin^2x}{x^{10}}$  

•  $\frac{x^5\cos^2x-5x^4\sin^2x}{x^{10}}$  

•  $\frac{5x^4\sin^2x-x^5\cos^2x}{x^{10}}$  

 $y=6e^{4x}$  

Find the derivative of

•  $4\left(\ln6\right)\left(6e^{4x}\right)$  

•  $\left(\ln6\right)\left(6e^{4x}\right)$  

•  $6e^{4x}$  

•  $24e^{4x}$  

•  $24xe^{4x-1}$