Trig Derivatives U is the Angle

What is the derivative of y = 2 sin x

• y' = 2 sin x

• y' = 2 cos x

• y' = -2 sin x

• y' = -2 cos x

What is the derivative of y = 8 cos x

• y' = 8 sin x

• y' = 8 cos x

• y' = -8 sin x

• y' = -8 cos x

Find f'(x) if f(x) = tan (3x)

• f'(x) = 3 sec x

  $f'(x)=3\sec^2x$

• $f'(x)=3\sec^2x$
  

• $f'(x)=3\tan^2x$
  

• $f'(x)=3\tan^2x$
  

Find f'(x) if  $f(x)=\cot(5x^4)$  

• f'(x) = 3 sec x

   $f'(x)=5\csc^2x$ 

•  $f'(x)=-20x^3\csc^2\left(5x^4\right)$ 
  

•  $f'(x)=20x^3\csc^2\left(5x^4\right)$ 
  

•  $f'(x)=-20x^3\csc^2\left(x\right)$ 
  

Find f'(x) if  $f(x)=\sec(4x^3+6)$  

• 
  

   $f'(x)=12x^2\sec(4x^3+6)\tan(4x^3+6)$ 

•  $f'(x)=-12x^2\sec(4x^3+6)\tan(4x^3+6)$ 
  

•  $f'(x)=12x^2\sec(4x^3+6)$ 
  

•  $f'(x)=12x^2\tan(4x^3+6)$ 
  

Find f'(x) if  $f(x)=\csc(x^7)$  

• 
  

   $f'(x)=\csc(x^7)$ 

•  $f'(x)=-\csc(x^7)\cot\left(x^7\right)$ 
  

•  $f'(x)=7x\csc(x^7)\cot(x^7)$ 
  

•  $f'(x)=-7x^6\csc(x^7)\cot(x^7)$ 
  

Find f'(x) if  $f(x)=\sin(7x^3-9)$  

• 
  

   $f'(x)=\sin(7x^3-9)$ 

•  $f'(x)=\cos(7x^3-9)$ 
  

•  $f'(x)=21x^2\sin(7x^3-9)$ 
  

•  $f'(x)=21x^6\cos(7x^3-9)$