Solve 9(2t)/4

$$\frac { 9 ( 2 t ) } { 4 }$$

Evaluate

$$\frac{9t}{2}$$

Solution Steps

Multiply 9 and 2 to get 18.

$$\frac{18t}{4}$$

Divide 18t by 4 to get \frac{9}{2}t.

$$\frac{9}{2}t$$

Differentiate w.r.t. t

$$\frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps Using Definition of a Derivative

Multiply 9 and 2 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{18t}{4})$$

Divide 18t by 4 to get \frac{9}{2}t.

$$\frac{\mathrm{d}}{\mathrm{d}t}(\frac{9}{2}t)$$

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

$$\frac{9}{2}t^{1-1}$$

Subtract 1 from 1.

$$\frac{9}{2}t^{0}$$

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

$$\frac{9}{2}\times 1$$

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

$$\frac{9}{2}$$