Solve D-11+6-13+(-9)

$$D - 11 + 6 - 13 + ( - 9 )$$

Evaluate

$$D-27$$

Solution Steps

Add -11 and 6 to get -5.

$$D-5-13-9$$

Subtract 13 from -5 to get -18.

$$D-18-9$$

Subtract 9 from -18 to get -27.

$$D-27$$

Differentiate w.r.t. D

$$1$$

Steps Using Derivative Rule for Sum

Add -11 and 6 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}D}(D-5-13-9)$$

Subtract 13 from -5 to get -18.

$$\frac{\mathrm{d}}{\mathrm{d}D}(D-18-9)$$

Subtract 9 from -18 to get -27.

$$\frac{\mathrm{d}}{\mathrm{d}D}(D-27)$$

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}.

$$D^{1-1}$$

Subtract 1 from 1.

$$D^{0}$$

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

$$1$$