Solve t+3t)?

$$t + 3 t ) ?$$

Differentiate w.r.t. t

$$4$$

Steps Using Definition of a Derivative

Combine t and 3t to get 4t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(4t)$$

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

$$4t^{1-1}$$

Subtract 1 from 1.

$$4t^{0}$$

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

$$4\times 1$$

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

$$4$$

Evaluate

$$4t$$

Solution Steps

Combine t and 3t to get 4t.

$$4t$$