Inverse Trigonometric Functions, Trigonometric Derivatives, Chain Rule

What is the derivative of csc(x)?

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

What is the derivative of cos(x)?

• sin(x)
• - sin(x)
• - cos(x)cot(x)
• csc(x)cot(x)

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 the derivative of sin(x)?

• sec(x)tan(x)
• csc²(x)
• -cos(x)
• cos(x)

What is the derivative of cot(x)?

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

What is the derivative of tan(x)?

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

Derive arctan(u)

• u' / (1 - u²)
• u' / (1 + u²)
• u' / √(1 - u²)
• - u' / (1 + u²)

Derive arcsin(u)

• u' / (1 - u²)
• u' / (1 + u²)
• u' / √(1 - u²)
• - u' / (1 + u²)

Derive arccos(u)

• - u' / √(1 - u²)
• u' / (1 + u²)
• u' / √(1 - u²)
• - u' / (1 + u²)

Derive arccot(u)

• u' / (1 + u²)
• u' / (1 + u²)
• u' / √(1 - u²)
• - u' / (1 + u²)