Trig Derivatives w/o Chain Rule

Derivative of cotx

• cosx 
• csc²x
• -csc²x
• cos²x

What is -sinx the derivative of?

• sinx

• -sinx

• cosx

• -cosx

Find f '(x) if f(x) = x⁴sinx

• 4x³cosx
• x⁴cosx
• x⁴cosx + 4x³sinx
• -x⁴cosx + 4x³sinx

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Find the derivative f(x) = tanxcosx

• f'(x) = sec²xcosx - tanxsinx
• f'(x) = sec²xcosx + tanxsinx
• f'(x) = sec²xsinx
• f'(x) = sec²xcosx - tanxcosx

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

• f'(x) = cosx

• f'(x) = sec²xcosx + tanxsinx

• f'(x) = -cosx

• f'(x) = sec²xcosx - tanxcosx

What is the derivative of a constant, C?

• C
• 1
• 0

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