Solve d/dxleft(2x+10000/xright)

$$\frac{d}{d x } \left(2x+ \frac{ 10000 }{ x } \right)$$

Evaluate

$$2-\frac{10000}{x^{2}}$$

Steps Using Derivative Rule for Sum

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}.

$$2x^{1-1}-10000x^{-1-1}$$

Subtract 1 from 1.

$$2x^{0}-10000x^{-1-1}$$

Subtract 1 from -1.

$$2x^{0}-10000x^{-2}$$

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

$$2\times 1-10000x^{-2}$$

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

$$2-10000x^{-2}$$

Differentiate w.r.t. x

$$\frac{20000}{x^{3}}$$