Solve d(-m^2+Mm^31)/dm

$$\frac { d ( - m ^ { 2 } + M m ^ { 31 } ) } { d m }$$

Evaluate

$$m\left(31Mm^{29}-2\right)$$

Steps Using Derivative Rule for Sum

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}.

$$2\left(-1\right)m^{2-1}+31Mm^{31-1}$$

Multiply 2 times -1.

$$-2m^{2-1}+31Mm^{31-1}$$

Subtract 1 from 2.

$$-2m^{1}+31Mm^{31-1}$$

Subtract 1 from 31.

$$-2m^{1}+31Mm^{30}$$

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

$$-2m+31Mm^{30}$$

Differentiate w.r.t. m

$$930Mm^{29}-2$$