Review of Derivative of Trig Functions

Find the derivative:
f(x) = sin(5x)

• -5cos(5x)
• cos(5x)
• 5cos(x)
• 5cos(5x)

Find the derivative:
f(x) = -2cosx

• -2sinx
• -cos²x
• 2sinx
• 2cosxsinx

Find y' if y = tan(3x²+2).

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

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

Find dy/dx if y = sec(8x²).

• sec(16x)tan(16x)
• 16xcos(8x²)
• 16xsecxtanx(8x²)
• 16xsec(8x²)tan(8x²)

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

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Determine the derivative of:  f(x) = x⁴sinx

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