Solve 2(5t)

$$2 ( 5 t )$$

Differentiate w.r.t. t

$$10$$

Steps Using Definition of a Derivative

Multiply 2 and 5 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}t}(10t)$$

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

$$10t^{1-1}$$

Subtract 1 from 1.

$$10t^{0}$$

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

$$10\times 1$$

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

$$10$$

Evaluate

$$10t$$

Solution Steps

Multiply 2 and 5 to get 10.

$$10t$$