Solve h(t)=30t-5t

$$h ( t ) = 30 t - 5 t$$

Differentiate w.r.t. t

$$25$$

Steps Using Definition of a Derivative

Combine 30t and -5t to get 25t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(25t)$$

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

$$25t^{1-1}$$

Subtract 1 from 1.

$$25t^{0}$$

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

$$25\times 1$$

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

$$25$$

Evaluate

$$25t$$

Solution Steps

Combine 30t and -5t to get 25t.

$$25t$$