Solve 7q+q

$$7 q + q$$

Differentiate w.r.t. q

$$8$$

Steps Using Definition of a Derivative

Combine 7q and q to get 8q.

$$\frac{\mathrm{d}}{\mathrm{d}q}(8q)$$

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

$$8q^{1-1}$$

Subtract 1 from 1.

$$8q^{0}$$

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

$$8\times 1$$

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

$$8$$

Evaluate

$$8q$$

Solution Steps

Combine 7q and q to get 8q.

$$8q$$