Derivative Review!

Which rule is being animated here?

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Which rule is being animated here?

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Which rule(s) would you use to derive  $f\left(x\right)=3x^2\cdot\sin\ x$  

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Which rule(s) would you use to derive  $y=\frac{7x}{\sec\ x}$  

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Which rule(s) would you use to derive  $y=\sin^{4\ }\left(x\right)$  

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Which rule(s) would you use to derive  $y=\cos\left(7x^2\right)$  

• Power Rule

• Product Rule

• Quotient Rule

• Chain Rule

Find $\frac{d}{dx}\left[\sin x\right]$  

•  $-\sin x$  

•  $\cos x$  

•  $-\cos x$  

•  $\tan x$  

Find  $\frac{d}{dx}\left[9\tan x\right]$ 

•  $\sec^2x$  

•  $\sec x\tan x$  

•  $9\sec^2x$  

•   $9\sec x\tan x$  

Find  $\frac{d}{dx}\left[\cot\left(x^3\right)\right]$ 

•  $-\csc^2\left(x^3\right)$  

•  $3x^2\csc^2\left(x^3\right)$  

•  $-x^3\csc^2x+3x^2\cot x$  

•   $-3x^2\csc^2\left(x^3\right)$  

Find  $f'\left(x\right)$ , if  $f\left(x\right)=\frac{5}{\sec x}$  

•  $0$  

•  $-\frac{5\tan x\ }{\sec x}$  

•  $5\sec x\tan x$  

•  $\frac{5}{\sec x\tan x}$