AP Calculus--Derivatives of Trig Functions

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)

When we "take the derivative" of a function what are we finding?

• What's a derivative?
• The rate at which our struggles in Calculus are increasing.
• The slope of the secant line
• The slope of the tangent line

What is the derivative of tan(x)?

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

What is the derivative of sec(x)?

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

Derive                y=3x²-4x+2

• 6x-6
• 6x-2
• 4-6x
• 6x-4

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

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)

Note: Not finding derivative, just finding what it's equal to...

• cos x
• csc x
• sec x
• cot x

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8

Note: Not finding derivative, just finding what it's equal to...

• csc x
• sec x
• cot x
• tan x

Tags

CCSS.HSF.IF.C.8

CCSS.HSF.TF.C.8