Review for Quiz 3 Higher Derivatives and Implicit Diff Intro

Find the 3rd derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^3y}{dx^3}=36x^2-72x+22$  

•  $\frac{d^3y}{dx^3}=12x^3-36x^2+22x-8$  

•  $\frac{d^3y}{dx^3}=72x\ -\ 72$  

•  $\frac{d^3y}{dx^3}=72$  

•  $\frac{d^3y}{dx^3}=0$  

Find the 2nd derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^2y}{dx^2}=36x^2-72x+22$  

•  $\frac{d^2y}{dx^2}=12x^3-36x^2+22x-8$  

•  $\frac{d^2y}{dx^2}=72x\ -\ 72$  

• 
   $\frac{d^2y}{dx^2}=72$  

•  $\frac{d^2y}{dx^2}=0$  

Find the 4th derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^4y}{dx^4}=36x^2-72x+22$  

•  $\frac{d^4y}{dx^4}=12x^3-36x^2+22x-8$  

•  $\frac{d^4y}{dx^4}=72x\ -\ 72$  

•  $\frac{d^4y}{dx^4}=72$  

•  $\frac{d^4y}{dx^4}=0$  

Find the 15th derivative if

 $y=3x^4-12x^3+11x^2-8x+10$  

•  $\frac{d^{15}y}{dx^{15}}=36x^2-72x+22$  

•  $\frac{d^{15}y}{dx^{15}}=12x^3-36x^2+22x-8$  

•  $\frac{d^{15}y}{dx^{15}}=72x\ -\ 72$  

•  $\frac{d^{15}y}{dx^{15}}=72$  

•  $\frac{d^{15}y}{dx^{15}}=0$  

Find the 4th Derivative if

 $y=-8\cos x$  

•  $f^4\left(x\right)=-8\cos x$  

•  $f^4\left(x\right)=8\cos x$  

•  $f^4\left(x\right)=-8\sin x$  

•  $f^4\left(x\right)=8\sin x$  

Find the 2nd Derivative if

 $y=-8\cos x$  

•  $f''\left(x\right)=-8\cos x$  

•  $f''\left(x\right)=8\cos x$  

•  $f''\left(x\right)=-8\sin x$  

•  $f''\left(x\right)=8\sin x$  

Find the 3rd Derivative if

 $y=-8\cos x$  

•  $y'''=-8\cos x$  

•  $y'''=8\cos x$  

•  $y'''=-8\sin x$  

•  $y'''=8\sin x$  

Find the 1st Derivative if

 $y=-8\cos x$  

•  $\frac{dy}{dx}=-8\cos x$  

•  $\frac{dy}{dx}=8\cos x$  

•  $\frac{dy}{dx}=-8\sin x$  

•  $\frac{dy}{dx}=8\sin x$  

Find the 59th Derivative if

 $y=-8\cos x$  

•  $f^{59}\left(x\right)=-8\cos x$  

•  $f^{59}\left(x\right)=8\cos x$  

•  $f^{59}\left(x\right)=-8\sin x$  

•  $f^{59}\left(x\right)=8\sin x$  

Find the 194th Derivative if

 $y=-8\cos x$  

•  $f^{194}\left(x\right)=-8\cos x$  

•  $f^{194}\left(x\right)=8\cos x$  

•  $f^{194}\left(x\right)=-8\sin x$  

•  $f^{194}\left(x\right)=8\sin x$