Solve 6d+3d+7d

$$6 d + 3 d + 7 d$$

Evaluate

$$16d$$

Solution Steps

Combine 6d and 3d to get 9d.

$$9d+7d$$

Combine 9d and 7d to get 16d.

$$16d$$

Differentiate w.r.t. d

$$16$$

Steps Using Definition of a Derivative

Combine 6d and 3d to get 9d.

$$\frac{\mathrm{d}}{\mathrm{d}d}(9d+7d)$$

Combine 9d and 7d to get 16d.

$$\frac{\mathrm{d}}{\mathrm{d}d}(16d)$$

The derivative of ax^{n} is nax^{n-1}.

$$16d^{1-1}$$

Subtract 1 from 1.

$$16d^{0}$$

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

$$16\times 1$$

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

$$16$$