Solve 191+5+9+13+m+25

$$191 + 5 + 9 + 13 + m + 25$$

Evaluate

$$m+243$$

Solution Steps

Add 191 and 5 to get 196.

$$196+9+13+m+25$$

Add 196 and 9 to get 205.

$$205+13+m+25$$

Add 205 and 13 to get 218.

$$218+m+25$$

Add 218 and 25 to get 243.

$$243+m$$

Differentiate w.r.t. m

$$1$$

Steps Using Derivative Rule for Sum

Add 191 and 5 to get 196.

$$\frac{\mathrm{d}}{\mathrm{d}m}(196+9+13+m+25)$$

Add 196 and 9 to get 205.

$$\frac{\mathrm{d}}{\mathrm{d}m}(205+13+m+25)$$

Add 205 and 13 to get 218.

$$\frac{\mathrm{d}}{\mathrm{d}m}(218+m+25)$$

Add 218 and 25 to get 243.

$$\frac{\mathrm{d}}{\mathrm{d}m}(243+m)$$

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}.

$$m^{1-1}$$

Subtract 1 from 1.

$$m^{0}$$

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

$$1$$