Calculus Derivatives Quiz

Find the derivative of f(x) = x^3 + 2x^2 - 5x + 1

• f'(x) = 2x^3 + 4x^2 - 5

• f'(x) = 3x^2 + 4x - 5

• f'(x) = 3x^3 + 2x^2 - 5x

• f'(x) = 3x^2 - 4x - 5

Differentiate the function g(x) = sin(x)cos(x)

• g'(x) = sin(x) + cos(x)

• g'(x) = sin(x)cos(x)

• g'(x) = cos(x)cos(x) - sin(x)sin(x)

• g'(x) = sin(x)sin(x) + cos(x)cos(x)

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

• h'(x) = cot(x)

• h'(x) = sin^2(x)

• h'(x) = sec^2(x)

• h'(x) = cos(x)

Find the derivative of f(x) = e^x

• 2e^x

• e

• e^x

• x^e

Differentiate the function g(x) = ln(x^2 + 1)

• g'(x) = (x^2)/(2x + 1)

• g'(x) = (2x)/(x^2 - 1)

• g'(x) = (x)/(x^2 + 1)

• g'(x) = (2x)/(x^2 + 1)

Calculate the derivative of h(x) = x^2 sin(x)

• h'(x) = 2xsin(x) + x^2cos(x)

• h'(x) = 2xsin(x) - x^2sin(x)

• h'(x) = 2xsin(x) - x^2cos(x)

• h'(x) = 2xsin(x) + x^2sin(x) + cos(x)

Find the derivative of f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 1

• f'(x) = 12x^3 - 6x^2 + 10x - 7

• f'(x) = 15x^3 - 8x^2 + 12x - 7

• f'(x) = 10x^3 - 5x^2 + 8x - 7

• f'(x) = 9x^3 - 4x^2 + 7x - 7

Differentiate the function g(x) = cos(2x)

• -2sin(2x)

• sin(2x)

• cos(2x)

• -2cos(2x)

Calculate the derivative of h(x) = sec(x)

• h'(x) = sec(x)cot(x)

• h'(x) = sec(x)tan(x)

• h'(x) = cos(x)tan(x)

• h'(x) = sin(x)cos(x)

Find the derivative of f(x) = 2^x

• f'(x) = 2^x * 2

• f'(x) = 2^x * x

• f'(x) = 2^x / ln(2)

• f'(x) = 2^x * ln(2)