Ch. 3.5: Trig Derivatives (A)

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

• The function is increasing
• The function is decreasing

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)

If f(x) = sin³(2x), then f'(x) =

• 3cos(2x)
• 3sin(2x)⋅2
• 3sin²(2x)cos(2x)
• 3sin²(2x)cos(2x)⋅2

If f(x) = 4tan(½⋅x), then f'(x) =

• 4sec²(2x)
• -4csc²(2x)
• 2sec²(2x)
• -2csc²(2x)