Solve 70+80+7u+80+10+10

$$70 + 80 + 7 u + 80 + 10 + 10$$

Evaluate

$$7u+250$$

Solution Steps

Add 70 and 80 to get 150.

$$150+7u+80+10+10$$

Add 150 and 80 to get 230.

$$230+7u+10+10$$

Add 230 and 10 to get 240.

$$240+7u+10$$

Add 240 and 10 to get 250.

$$250+7u$$

Differentiate w.r.t. u

$$7$$

Steps Using Derivative Rule for Sum

Add 70 and 80 to get 150.

$$\frac{\mathrm{d}}{\mathrm{d}u}(150+7u+80+10+10)$$

Add 150 and 80 to get 230.

$$\frac{\mathrm{d}}{\mathrm{d}u}(230+7u+10+10)$$

Add 230 and 10 to get 240.

$$\frac{\mathrm{d}}{\mathrm{d}u}(240+7u+10)$$

Add 240 and 10 to get 250.

$$\frac{\mathrm{d}}{\mathrm{d}u}(250+7u)$$

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}.

$$7u^{1-1}$$

Subtract 1 from 1.

$$7u^{0}$$

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

$$7\times 1$$

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

$$7$$