Derivative Skills Assessment

Calculate the derivative of f(x) = 3x^2 - 4x + 1

• f'(x) = 3x^2 - 4x + 1

• f'(x) = 6x + 4

• f'(x) = 6x - 4

• f'(x) = 3x^2 - 4

Find the derivative of g(x) = (2x + 1)(3x - 2)

• g'(x) = 6x - 1

• g'(x) = 5x + 3

• g'(x) = 12x - 1

• g'(x) = 8x - 2

Determine the derivative of h(x) = sin(2x)

• tan(2x)

• 2sin(2x)

• 2cos(2x)

• cos(2x)

Solve for the derivative of k(x) = e^(3x)

• 9e^(3x)

• 3e^(2x)

• e^(3x)

• 3e^(3x)

Compute the derivative of m(x) = ln(4x)

• 1/x

• x

• 1/4x

• 4/x

Apply the product rule to find the derivative of n(x) = x^2 * cos(x)

• 2x * sin(x) - x^2 * cos(x)

• 2x * cos(x) + x^2 * sin(x)

• 2x * sin(x) + x^2 * cos(x)

• 2x * cos(x) - x^2 * sin(x)

Use the chain rule to calculate the derivative of p(x) = sqrt(2x + 1)

• 1/(2*(2x + 1)^(1/2))

• 1/(4*(2x + 1)^(1/2))

• 1/(2*(2x + 1)^(3/2))

• 1/(2*(2x + 1))

Find the derivative of q(x) = tan(x) * sec(x)

• tan(x) * csc(x)

• tan(x) * sec(x)

• sec^2(x) + tan(x) * sec(x)

• cos(x) * sec(x)

Determine the derivative of r(x) = 5x^3 + 2x^2 - 7x

• 15x^2 + 4x + 7

• 5x^4 + 2x^3 - 7x^2

• 15x^2 + 4x - 7

• 10x^2 + 2x - 7

Solve for the derivative of s(x) = e^(2x) * cos(x)

• s'(x) = 2e^(2x) * cos(x) - e^(2x) * sin(x)

• s'(x) = e^(2x) * cos(x) + e^(2x) * sin(x)

• s'(x) = 2e^(2x) * cos(x) + e^(2x) * sin(x)

• s'(x) = 2e^(2x) * sin(x) - e^(2x) * cos(x)