Fractional and Negative Exponents

Find the derivative of f(x) = x^-3

• -3x^-4

• -3x^-5

• -3x^-3

• -3x^-2

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

• -2x^(-3/2)

• x^(-1/4)

• -(1/2)x^(-3/2)

• (1/2)x^(-3/2)

Find the derivative of f(x) = 2x^(-4)

• -4x^(-3)

• 8x^(-5)

• -8x^(-5)

• -2x^(-3)

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

• -2x^(2/3)

• 3x^(-5/3)

• -2x^(-5/3)

• -2x^(-2/3)

Find the derivative of f(x) = x^(-5/2)

• -(5/2)x^(-7/2)

• -(5/2)x^(-3)

• -(5/2)x^(-5/2)

• -(5/2)x^(-3/2)

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

• 2x

• -2/x

• 1/x^2

• 2/x

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

• -3/(2x^(3/4))

• -3/(2x^(-5/2))

• -3/(2x^(3/2))

• -3/(2x^(5/2))

Find the derivative of f(x) = (2/x)^(-4)

• -4x^3

• 4x^3

• 8x^3

• 16x^3

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

• -3/(2x^(1/4))

• -3/(2x^(-3/2))

• -3/(2x^(1/2))

• -3/(2x^(3/2))

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

• -2/x

• 1/(2*x)

• 2*x

• x^2