Solve 2*2(4t)

$$2 \times 2 ( 4 t )$$

Evaluate

$$16t$$

Solution Steps

Multiply 2 and 2 to get 4.

$$4\times 4t$$

Multiply 4 and 4 to get 16.

$$16t$$

Differentiate w.r.t. t

$$16$$

Steps Using Definition of a Derivative

Multiply 2 and 2 to get 4.

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

Multiply 4 and 4 to get 16.

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

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

$$16t^{1-1}$$

Subtract 1 from 1.

$$16t^{0}$$

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

$$16\times 1$$

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

$$16$$