Calculus Differentiation Quiz

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

• f'(x) = 9x + 4

• f'(x) = 3x^2 + 4x - 7

• f'(x) = 6x + 4

• f'(x) = 6x - 4

Calculate the derivative of g(x) = sin(x) + cos(x).

• g'(x) = cos(x) + cos(x)

• g'(x) = cos(x) - sin(x)

• g'(x) = sin(x) - cos(x)

• g'(x) = sin(x) + sin(x)

Determine the derivative of h(x) = e^x + ln(x).

• e^x + 1/x

• e^x - ln(x)

• e^x - 1/x

• e^x + x

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

• dy/dx = 5x^4 - 2x^3 + 7x^2 - 9

• dy/dx = 10x^2 - 4x + 7

• dy/dx = 15x^2 - 4x + 7

• dy/dx = 15x^2 - 2x + 7

Calculate the derivative of f(t) = sqrt(t) + 1/t.

• (1/2)*t^(-1/2) - 1/t

• (1/2)*t^(-1/2) - 1/t^2

• t^(-1/2) + 1/t^2

• (1/2)*t^(-1/2) + 1/t^2

Determine the derivative of g(t) = tan(t) + sec(t).

• g'(t) = sec(t) + tan(t)

• g'(t) = sec^2(t) + sec(t)tan(t)

• g'(t) = sec(t)tan(t) + tan(t)

• g'(t) = sec^2(t) - sec(t)tan(t)

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

• dy/dx = 10x^3 - 6x + 5

• dy/dx = 8x^2 - 6x + 5

• dy/dx = 2x^5 - 3x^3 + 5

• dy/dx = 8x^3 - 6x + 5

Calculate the derivative of f(x) = cos(x) * sin(x).

• cos(x) / sin(x)

• cos(x) - sin(x)

• cos(x) + sin(x)

• cos^2(x) - sin^2(x)

Determine the derivative of h(x) = ln(x^2) + e^(2x).

• 2/x + 2e^(2x)

• ln(2x) + e^(2x)

• 2/x + e^(2x)

• 2/x + 2e^(x)

Find the derivative of y = x^3 * e^x.

• y' = 3x^2 * e^x + x^3 * e^x

• y' = 3x^2 * e^x + x^3 * e^x + 1

• y' = 3x^3 * e^x + x^3 * e^x

• y' = 3x^2 * e^x + x^2 * e^x