Solve 2.250+700:5-30t

$$2.250 + 700 : 5 - 30 t$$

Evaluate

$$142.25-30t$$

Solution Steps

Divide 700 by 5 to get 140.

$$2.25+140-30t$$

Add 2.25 and 140 to get 142.25.

$$142.25-30t$$

Differentiate w.r.t. t

$$-30$$

Steps Using Derivative Rule for Sum

Divide 700 by 5 to get 140.

$$\frac{\mathrm{d}}{\mathrm{d}t}(2.25+140-30t)$$

Add 2.25 and 140 to get 142.25.

$$\frac{\mathrm{d}}{\mathrm{d}t}(142.25-30t)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$-30t^{1-1}$$

Subtract 1 from 1.

$$-30t^{0}$$

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

$$-30$$