chain rule & functions from the derivative

Given f (x) =  − 3x³cosx

• 3x³cosx + 9x²sinx
•  − 3x³sinx + 9x²cosx
•   3x³sinx + 9x²cosx
•  3x³sinx − 9x²cosx

Using the data in the chart, find the value of d/dx [g(f(x))] at x = 9

• -6+2π
• -3π
• 8+(3π)/2
• (-3π)/2

Find dy/dx at a given point.

• 5/4
• 4/5
• 1
• -5

Find the derivative:
y=e^5x

• y'=e^5x
• y'=5e^5x
• y'=5e^x
• y'=(1/5)e^5x

Find the derivative:
y = 3ln(x²-3)

• 6x/(x²-3)
• 3/(x²-3)
• 3x/(x²-3)
• 9x/(x²-3)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

1

• A

• B

• C

• D

2

• A

• B

• C

• D

• A

• B

• C

• D

5

• A
• B
• C
• D

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A