Derivative Skills Test

Find the derivative of f(x) = 3x^2 + 4x - 7

• f'(x) = 2x + 7

• f'(x) = 3x^2 + 4

• f'(x) = 6x - 4

• f'(x) = 6x + 4

Calculate the derivative of g(x) = sin(x)

• sec(x)

• tan(x)

• csc(x)

• cos(x)

Answer explanation

Determine the derivative of h(x) = e^x

• e^x

• e^2x

• 2e^x

• x^e

Find the derivative of k(x) = ln(x)

• 1/x

• 1

• x^2

• x

• 1/x^2

Calculate the derivative of m(x) = 2x^3 - 5x^2 + 8x

• 6x^3 - 10x + 8

• 2x^2 - 5x + 8

• 6x^2 - 10x + 8

• 6x^2 - 5x + 8

Determine the derivative of n(x) = cos(x)

• 1

• tan(x)

• -sin(x)

• cos(x)

• 2x

Find the derivative of p(x) = 1/x

• -1/x^2

• 1/x^2

• -1/x

• x

• 1

Calculate the derivative of q(x) = tan(x)

• q'(x) = cos(x)

• q'(x) = sec^2(x)

• q'(x) = sin(x)

• q'(x) = cot(x)

Determine the derivative of r(x) = sqrt(x)

• r'(x) = 1/(2*sqrt(x^2))

• r'(x) = sqrt(1/x)

• r'(x) = 1/(2*sqrt(x))

• r'(x) = 1/(2*x)

Find the derivative of s(x) = 4/x^2

• -6/x^3

• -8/x^3

• -2/x^3

• -4/x^3