Solve 3D+2+4D-11=

$$3 D + 2 + 4 D - 11 =$$

Evaluate

$$7D-9$$

Solution Steps

Combine 3D and 4D to get 7D.

$$7D+2-11$$

Subtract 11 from 2 to get -9.

$$7D-9$$

Differentiate w.r.t. D

$$7$$

Steps Using Derivative Rule for Sum

Combine 3D and 4D to get 7D.

$$\frac{\mathrm{d}}{\mathrm{d}D}(7D+2-11)$$

Subtract 11 from 2 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}D}(7D-9)$$

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}.

$$7D^{1-1}$$

Subtract 1 from 1.

$$7D^{0}$$

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

$$7\times 1$$

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

$$7$$