AP Calc 3.6 Review

What is the derivative of y = 4(3x-8)²?

• dy/dx = 8(3x-8)

• dy/dx = 24(3x-8)

• dy/dx = 12(3x-8)

• dy/dx = 8x(3x-8)

What is the derivative of y = cos(tan(x))?

• dy/dx = -sin(tan(x))

• dy/dx = sin(sec²(x))

• dy/dx = -sin(x)sec²(x)

• dy/dx = -sin(tan(x))sec²(x)

What is the derivative of y = cot(x³)?

• dy/dx = -3x²csc(x³)

• dy/dx = -3xcsc(x)

• dy/dx = -csc(x³)

• dy/dx = -csc(3x²)

What is the derivative of y = 3x(4x²-9x)³?

• dy/dx = 9x(4x²-9x)²

• dy/dx = 9x(8x-9)²

• dy/dx = 3x(8x-9)³

• dy/dx = 9x(8x-9)(4x²-9x)²

What is the derivative of y = (2x-6)⁵?

• dy/dx = 5(2x-6)⁴

• dy/dx = 10(2x-6)⁴

• dy/dx = 10x(2x-6)⁴

• dy/dx = 5(2x-6)

What is the derivative of y = sin(5x²)?

• dy/dx = sin(10x)

• dy/dx = cos(5x²)

• dy/dx = 5x²cos(5x²)

• dy/dx = 10xcos(5x²)

What is the derivative of y = 4(x⁴-1)³

• dy/dx = 48x³(x⁴-1)

• dy/dx = 12(x⁴-1)

• dy/dx = 12x³(x⁴-1)

• dy/dx = 12(4x³-1)

What is the second derivative of y = sin(x²)?

• d²y/dx² = -2xsin(x²)+4xcos(x²)

• d²y/dx² = 2xcos(x²)

• d²y/dx² = -2xsin(x²)

• d²y/dx² = -4x²sin(x²)+2cos(x²)

What is the derivative of y = ((2x+1)³+4)⁵?

• dy/dx = 5((2x+1)³+4)⁴

• dy/dx = 15(2x+1)²

• dy/dx = 30((2x+1)³+4)⁴(2x+1)²

• dy/dx = 15((2x+1)²+4)(2x+1)

What is the derivative of y = 2x+(3x)⁸?

• dy/dx = 2+8(3x)⁷

• dy/dx = 2+24(3x)⁷

• dy/dx = 2x+8(3x)⁷

• dy/dx = 24(2x)⁷