Derivatives Trig

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)

Find dy/dx if y = cos⁵x

• 5cos⁴(x)

• -5cos⁴(x)sin⁴(x)

• 5cos⁴(x)sin(x)

• -5cos⁴(x)sin(x)

Find dy/dx if y = sec(8x²).

• sec(16x)tan(16x)

• 16xcos(8x²)

• sec(8x²)tan(8x²)

• 16xsec(8x²)tan(8x²)

Find y' if y = tan(3x²+2).

• sec²(3x²+2)

• 6xsec²(3x²+2)

• 6xsec²x(3x²+2)

• sec²(6x)

Find y' if y = cos⁵(4x³)

• -5cos⁴(4x³)sin(12x²)

• -60x²sin⁴(4x³)

• -5cos⁴(4x³)sin(4x³)

• -60x²cos⁴(4x³)sin(4x³)

Find y' if y = cot⁴x

• -4cot³(x)csc²(x)

• 4csc³(x)

• -4csc⁶(x)

• 4csc²(x)cot³(x)

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)

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)

If f(x) = sin³(2x), then f'(x) =

• 6sin²(2x)cos(2x)

• 6sin(2x)

• 3sin²(2x)cos(2x)

• 3cos(2x)