Solve m+9quadm+1

$$m + 9 \quad m + 1$$

Differentiate w.r.t. m

$$10$$

Steps Using Derivative Rule for Sum

Combine m and 9m to get 10m.

$$\frac{\mathrm{d}}{\mathrm{d}m}(10m+1)$$

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}.

$$10m^{1-1}$$

Subtract 1 from 1.

$$10m^{0}$$

For any term t except 0, t^{0}=1.

$$10\times 1$$

For any term t, t\times 1=t and 1t=t.

$$10$$

Evaluate

$$10m+1$$

Solution Steps

Combine m and 9m to get 10m.

$$10m+1$$