Derivatives of Logs and Exponentials

What is the derivative of ln(x)?

• 1 / x

• e^x

• x^2

• x

What is the derivative of e^x?

• e

• e^x

• x

• 1

The derivative of e^(-x) is

• -e^(-x)
• -e^(x)

• e^(x)

• e^(-x)

Find the derivative of e^(2x + 5).

• e^(2x + 5)

• 2e^(2x)

• 2e^(5)

• 2e^(2x + 5)

Find the derivative of ln(2x + 3).

• 1 / x

• (2x + 3)^2

• 1 / (2x + 3)

• 2 / (2x + 3)

The derivative of ln(2x) is

• 2

• 1 / 2x

• 2 / x

• 1 / x

If f(x) = ln(x^2 + 1), find f'(x).

• 2x / (x^2 + 1)

• 2x / (x^2 + 2)

• 2x / x^2

• 1 / 2x

If g(x) = e^(3x - 2), find g'(x).

• e^(3x - 2)

• 3e^(3x - 2) - 2

• 3e^(3x - 2)

• 3e^(3x)

What is the derivative of ln(u(x))?

• u(x) / u'(x)

• u'(x) / u(x)^2

• u'(x) / u'(x)^2

• u'(x) / u(x)

What is the derivative of e^(u(x))?

• e^(u(x)) / u'(x)

• e^(u(x)) - u'(x)

• e^(u(x)) + u'(x)

• e^(u(x)) * u'(x)