Solve 2t*8t

$$2 t \cdot 8 t$$

Evaluate

$$16t^{2}$$

Solution Steps

Multiply t and t to get t^{2}.

$$2t^{2}\times 8$$

Multiply 2 and 8 to get 16.

$$16t^{2}$$

Differentiate w.r.t. t

$$32t$$

Steps Using Definition of a Derivative

Multiply t and t to get t^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}t}(2t^{2}\times 8)$$

Multiply 2 and 8 to get 16.

$$\frac{\mathrm{d}}{\mathrm{d}t}(16t^{2})$$

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

$$2\times 16t^{2-1}$$

Multiply 2 times 16.

$$32t^{2-1}$$

Subtract 1 from 2.

$$32t^{1}$$

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

$$32t$$