Derivatives of Inverse Trig Functions

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 xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

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

sin^-1(-1/2)

• π/3
• π/6
• 5π/6
• -π/6

Tags

CCSS.HSF.TF.B.7

tan(sin^-1(-1/2))

• √3
• √3/3
• -√3
• -√3/3

Tags

CCSS.HSF.TF.C.8

cos^-1(√(3)/2)

• π/3
• 2π/3
• π/6
• 5π/6

Tags

CCSS.HSF.TF.A.2

sec^-1(-2)

• π/3
• 2π/3
• π/6
• 5π/6

Tags

CCSS.HSF.TF.B.7