Chain Rule Practice

What is the derivative of cot(x)?

• sec²(x)
• -sec²(x)
• csc²(x)
• -csc²(x)

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

What is the derivative of tan(x)?

• -sec²(x)
• -csc²(x)
• sec²(x)
• csc²(x)

Tags

CCSS.HSF.TF.C.9

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 f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find the derivative of $y=\left(8x-3\right)^6$  

•  $48\left(8x-3\right)^5$  

•  $-48\left(8x-3\right)^5$  

•  $14\left(8x-3\right)^5$  

•  $-14\left(8x-3\right)^5$  

Find the derivative of $y=\left(2x-1\right)^3$  

•  $6\left(2x-1\right)^2$  

•  $3\left(2x-1\right)^2$  

•  $-3\left(2x-1\right)^2$  

•  $-4\left(2x-1\right)^2$  

Find the derivative of the following with respect to x:

y = sin(2x²)

• y' = 4sin(2x²)

• y' = 4xcos(2x²)

• y' = 2xcos(2x²)

• y' = xcos(4x²)