Derivative Quiz 2

Find the derivative of y = (2x^2 + 3x)^3

• 6x(4x^2 + 3x)^2(2x + 3)

• 4x(2x^2 + 3x)^2(6x + 3)

• 12x(2x^2 + 3x)^2(4x + 3)

• 6x(2x^2 + 3x)^2(4x + 3)

Calculate the derivative of y = (x^2 + 2x)(3x - 1)

• y' = (2x + 2)(3x - 1) + (x^2 + 2x)(3x - 1)

• y' = (2x + 2)(3x - 1) + (x^2 + 2x)(3x + 1)

• y' = (2x^2 + 2)(3x - 1) + (x^2 + 2x)(3)

• y' = (2x + 2)(3x - 1) + (x^2 + 2x)(3)

Determine the derivative of y^2 + xy - x^2 = 4

• 2yy' + y + xy' - 2x = 1

• 2yy' + y + xy' - 2x = 4

• 2yy' + y + xy' - 2x = -4

• 2yy' + y + xy' - 2x = 0

Find the second derivative of y = 3x^4 - 2x^3 + 5x^2 - 7x + 9.

• y'' = 36x^2 - 12x + 10

• y'' = 12x^3 - 6x^2 + 10x

• y'' = 36x^2 - 12x + 9

• y'' = 12x^3 - 6x^2 + 5x

Calculate the third derivative of y = sin(2x)

• y''' = -2sin(2x)

• y''' = -8sin(2x)

• y''' = -4cos(2x)

• y''' = 4cos(2x)

Find the derivative of y = cos(x)

• 1

• tan(x)

• -sin(x)

• cos(x)

Determine the derivative of y = e^x * sin(x)

• e^x * cos(x) - e^x * sin(x)

• e^x * sin(x) - e^x * cos(x)

• e^x + sin(x) * cos(x)

• e^x * sin(x) + e^x * cos(x)

Calculate the derivative of y = ln(x^2 + 1)

• 2x / (x^2 - 1)

• 2 / (x^2 + 1)

• 2x / (x^2 + 1)

• x / (x^2 + 1)

Find the fourth derivative of y = tan(x)

• cos^4(x) * (4 * tan^2(x) - 2)

• sec^4(x) * (4 * tan^2(x) - 2)

• sec^4(x) * (4 * tan^2(x) + 2)

• sin^4(x) * (4 * tan^2(x) - 2)

Determine the derivative of y = cos^2(x)

• cos(x)sin(x)

• 2cos(x)sin(x)

• -2cos(x)sin(x)

• -2cos(x)