Solve 10000000x0111111000

$$10000000x0111111000$$

Differentiate w.r.t. x_0

$$1111110000000000$$

Steps Using Definition of a Derivative

Multiply 10000000 and 111111000 to get 1111110000000000.

$$\frac{\mathrm{d}}{\mathrm{d}x_{0}}(1111110000000000x_{0})$$

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

$$1111110000000000x_{0}^{1-1}$$

Subtract 1 from 1.

$$1111110000000000x_{0}^{0}$$

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

$$1111110000000000\times 1$$

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

$$1111110000000000$$

Evaluate

$$1111110000000000x_{0}$$

Solution Steps

Multiply 10000000 and 111111000 to get 1111110000000000.

$$1111110000000000x_{0}$$