Derivatives of trig and chain rule with trig

What is the derivative of sin(x)?

• -sin(x)

• -cos(x)

• cos(x)

• sin(x)

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 cos(x)?

• sin(x)

• -sin(x)

• cos(x)

• -cos(x)

What is the derivative of tan(x)?

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

Tags

CCSS.HSF.TF.C.9

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 -cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

What is the derivative of -sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

Find y' if y = tan(3x²+2).

• sec²(3x²+2)
• 6xsec²(3x²+2)
• 6xsec²x(3x²+2)
• sec²(6x)

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.2