5.Differentiability and Derivatives Quiz

What is the process of finding the derivative of a function called?

• Integration

• Exponentiation

• Differentiation

• Multiplication

What is the product rule for differentiation?

• (uv)' = u'v - uv'

• (uv)' = u'v + uv'

• (uv)' = u/v + v/u

• (uv)' = u-v

What is the quotient rule for differentiation?

• (u/v)' = u-v

• (u/v)' = u'v - v'u

• (u/v)' = u/v - v/u

• (u/v)' = u'v + v'u

What is the chain rule for differentiation?

• df/dx = dv/dt * dt/dx

• df/dx = dv/dt + dt/dx

• df/dx = dv/dx * dt/dt

• df/dx = dv/dt / dt/dx

What is the derivative of sin^-1(x)?

• 1/√(1-x^2)

• 1/(1-x)

• √(1-x^2)

• 1/(1+x)

What is the derivative of cos^-1(x)?

• 1/√(1-x^2)

• √(1-x^2)

• 1/(1-x)

• 1/(1+x)

What is the derivative of tan^-1(x)?

• 1/√(1-x^2)

• √(1-x^2)

• 1/(1+x)

• 1/(1-x)

What is the domain of sin^-1(x)?

• (-1, 1)

• (-π, π)

• (-∞, ∞)

• (-π/2, π/2)

What is the domain of cos^-1(x)?

• (-∞, ∞)

• (-1, 1)

• (-π/2, π/2)

• (-π, π)

What is the domain of tan^-1(x)?

• (-π, π)

• (-∞, ∞)

• (-1, 1)

• (-π/2, π/2)