Solve 100t*0.6

$$100 t \times 0.6$$

Differentiate w.r.t. t

$$60$$

Steps Using Definition of a Derivative

Multiply 100 and 0.6 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}t}(60t)$$

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

$$60t^{1-1}$$

Subtract 1 from 1.

$$60t^{0}$$

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

$$60\times 1$$

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

$$60$$

Evaluate

$$60t$$

Solution Steps

Multiply 100 and 0.6 to get 60.

$$60t$$