Solve d/dt(2t+2+5t)

$$\frac { d } { d t } ( 2 t + 2 + 5 t )$$

Evaluate

$$7$$

Steps Using Derivative Rule for Sum

Combine 2t and 5t to get 7t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(7t+2)$$

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}.

$$7t^{1-1}$$

Subtract 1 from 1.

$$7t^{0}$$

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

$$7\times 1$$

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

$$7$$

Differentiate w.r.t. t

$$0$$