Trig Derivatives and Unit Circle

• cosx
• -cosx
• -sinx cosx
• sinx cosx

• secx tanx
• sec²x
• cscx cotx
• -cscx cotx

Find the derivative.

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

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 y' if y = tan(3x²+2).

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

Find dy/dx if y = sec(8x²).

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

Find g'(x) if g(x) = sin^1/2(4x)

• 2cos^-1/2(4x)
• 4cos^1/2(4x)
• 2sin^-1/2(4x)cos(4x)
• 1/2sin^-1/2(4x)cos(4x)

Find dy/dx if y = (cscx + 1)⁷

• -7(cscx + 1)⁶(cscxcotx)
• 7(-cscxcotx)⁶
• 7(cscx + 1)⁶(cscxcotx)
• -7(cscxcotx)⁶

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 the function:
f(x) = (7/5) sin² 2x

• f '(x) = -(28 sin 2x cos 2x)/5
• f '(x) = (28 cos 2x)/5
• f '(x) = (28 sin 2x cos 2x)/5
• f '(x) = (7sin 2x cos 2x) /5