Solve 220x/2+250x/2

$$220 \frac{ x }{ 2 } +250 \frac{ x }{ 2 }$$

Evaluate

$$235x$$

Solution Steps

Cancel out 2, the greatest common factor in 220 and 2.

$$110x+250\times \frac{x}{2}$$

Cancel out 2, the greatest common factor in 250 and 2.

$$110x+125x$$

Combine 110x and 125x to get 235x.

$$235x$$

Differentiate w.r.t. x

$$235$$

Steps Using Definition of a Derivative

Cancel out 2, the greatest common factor in 220 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(110x+250\times \frac{x}{2})$$

Cancel out 2, the greatest common factor in 250 and 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(110x+125x)$$

Combine 110x and 125x to get 235x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(235x)$$

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

$$235x^{1-1}$$

Subtract 1 from 1.

$$235x^{0}$$

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

$$235\times 1$$

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

$$235$$