Solve m^2-12m^2+63

$${ m }^{ 2 } -12 { m }^{ 2 } +63$$

Differentiate w.r.t. m

$$-22m$$

Steps Using Derivative Rule for Sum

Combine m^{2} and -12m^{2} to get -11m^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-11m^{2}+63)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$2\left(-11\right)m^{2-1}$$

Multiply 2 times -11.

$$-22m^{2-1}$$

Subtract 1 from 2.

$$-22m^{1}$$

For any term t, t^{1}=t.

$$-22m$$

Evaluate

$$63-11m^{2}$$

Solution Steps

Combine m^{2} and -12m^{2} to get -11m^{2}.

$$-11m^{2}+63$$