Calculus AB Review

What is the derivative of sin(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

What is the derivative?

• A
• B
• C
• D

What is the derivative of cos(x)?

• sin(x)
• cos(x)
• -sin(x)
• -cos(x)

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x)=5x
find f'(x)

• 5
• 1
• 0
• 5x

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

y=9
y'=

• 9
• 0
• 1
• undefinded

f(x)= 5/x^{2
f'(x) =} 

• 5x
• 5/2x
• 5x^-2
• -10/x³

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)