Trig Derivative Rules

Find the derivative of y = x⁴⋅cos x

• y' = x⁴ cosx - 4x³sinx

• y' = 4x³ cosx - x⁴sinx

• y' = 4x³ cosx + x⁴sinx

• y' = -4x³cosx

What is the derivative of tan(x)?

• tan(x)
• sec(x)
• tan²(x)
• sec²(x)

What is the derivative of cotx?

•  $-\csc^2x$  

•  $\cos^2x$  

•  $-\csc x\cot x$  

•  $\sin^2x$  

 $f\left(x\right)=\sin x$  Find the slope of the tangent line to f(x) at  $x=\frac{\pi}{6}$  

•  $\frac{1}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $\frac{-\sqrt{3}}{2}$  

•  $\frac{-1}{2}$  

Tags

CCSS.HSF.TF.A.4

 $y=3\csc x$  Find  $\frac{\text{d}y}{\text{d}x}$  

• 2tanx

• 3cotx

• -3cscxcotx

• secxtanx

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Find the derivative of y = x⁴⋅cos x

• y' = x⁴ cosx - 4x³sinx

• y' = 4x³ cosx - x⁴sinx

• y' = 4x³ cosx + x⁴sinx

• y' = -4x³cosx

What is the derivative of sec(x)?

• sec(x)tan(x)
• csc(x)cot(x)
• -sec(x)tan(x)
• -csc(x)cot(x)

What is the derivative of cos(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx