Solve d/dxleft(x^100+60yx^2-300right)

$$\frac{d}{d x } \left( { x }^{ 100 } +60y { x }^{ 2 } -300 \right)$$

Evaluate

$$100x^{99}+120xy$$

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}.

$$100x^{100-1}+2\times 60yx^{2-1}$$

Subtract 1 from 100.

$$100x^{99}+2\times 60yx^{2-1}$$

Multiply 2 times 60y.

$$100x^{99}+120yx^{2-1}$$

Subtract 1 from 2.

$$100x^{99}+120yx^{1}$$

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

$$100x^{99}+120yx$$

Differentiate w.r.t. x

$$9900x^{98}+120y$$