Product and Quotient Rules Quiz

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

• 2x * sin(x) + x^2 * cos(x)

• 2x * sin(x) + x^2 * sin(x)

• 2x * cos(x) + x^2 * sin(x)

• 2x * sin(x) - x^2 * cos(x)

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

• (3x^2 + 2x) / (x - 1)^2 + 2

• (-3x^2 - 2x + 2) / (x - 1)^2

• (3x^2 + 2x) / (x - 1)

• (-3x^2 - 2x + 2) / (x - 1)

Determine the derivative of h(x) = (2x^3 - 5x^2) * (4x + 1)

• 12x^3 - 26x^2 - 10x

• 12x^3 - 26x^2 - 5x

• 12x^3 - 26x^2 + 5x

• 12x^3 - 26x^2 + 10x

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

• (x^2 + 3x) / (2x - 1)

• (x^2 + 3x) / (2x + 1)

• (x^2 + 3x) / (2x)

• (-x^2 + 4x + 3) / (2x - 1)^2

Calculate the derivative of g(x) = x^3 * cos(x)

• 3x^2 * cos(x) - x^3 * sin(x)

• 3x^2 * sin(x) - x^3 * cos(x)

• 3x^2 * cos(x) + x^3 * cos(x)

• 3x^2 * cos(x) + x^3 * sin(x)

Determine the derivative of h(x) = (4x^2 + 2x) / (3x - 2)

• (4x^2 + 2x) / (3x - 2)

• (12x^2 + 14x - 4) / (3x - 2)^2

• (12x^2 - 14x - 4) / (3x - 2)^2

• (12x^2 - 14x - 4) / (3x - 2)

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

• x^2 * e^x + 2x * e^x

• x^2 * e^x + 2e^x

• x^2 * e^x - 2x

• x^2 * e^x + 2x

Calculate the derivative of g(x) = (2x^3 - 5x^2) / (x + 1)

• (6x^2 - 10x + 2x^3 - 5x^2) / (x + 1)^2

• (6x^2 - 10x - 2x^3 - 5x^2) / (x + 1)^2

• (6x^2 - 10x - 2x^3 + 5x^2) / (x + 1)^2

• (6x^2 - 10x - 2x^3 + 5x^2) / (x + 1)

Determine the derivative of h(x) = (3x^2 + 2x) * (x - 1)

• 6x^2 + 4x - 2

• 6x^2 + 2x - 2

• 3x^2 - 2x - 2

• 6x^2 - 4x - 2

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

• (x^3 + 2x^2) / (3x)

• (9x^3 + 13x^2 + 4x) / (9x^2 + 6x + 1)

• (9x^3 + 13x^2 + 4x) / (9x^2 + 6x)

• (x^3 + 2x^2) / (3x^2 + 1)