Solve 4t-2/3t

$$4 t - \frac { 2 } { 3 } t$$

Differentiate w.r.t. t

$$\frac{10}{3} = 3\frac{1}{3} = 3.3333333333333335$$

Steps Using Definition of a Derivative

Combine 4t and -\frac{2}{3}t to get \frac{10}{3}t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{10}{3}t)$$

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

$$\frac{10}{3}t^{1-1}$$

Subtract 1 from 1.

$$\frac{10}{3}t^{0}$$

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

$$\frac{10}{3}\times 1$$

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

$$\frac{10}{3}$$

Evaluate

$$\frac{10t}{3}$$

Solution Steps

Combine 4t and -\frac{2}{3}t to get \frac{10}{3}t.

$$\frac{10}{3}t$$