Trig Derivatives with Chain

Find dy/dx if y = cos⁵x

• 5cos⁴x
• -5sin⁴x
• 5cos⁴xsinx
• -5cos⁴xsinx

Find y' if y = tan(3x²+2).

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

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.2

Find f '(x) if f(x) = x⁴sinx

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

Find dy/dx if y = sec(8x²).

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

Find y' if y = cot⁴x

• -4cot³xcsc²x
• 4csc³x
• -4csc⁶x
• 4csc²xcot³x

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 y' if y = cos⁵(4x³)

• -5cos⁴(4x³)sin(12x²)
• -60x²sin⁴(4x³)
• -5cos⁴(4x³)sin(4x³)
• -60x²cos⁴(4x³)sin(4x³)