Solve x%*1%

$$x \% \times 1 \%$$

Evaluate

$$\frac{x}{10000}$$

Solution Steps

Multiply \frac{x}{100} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{100\times 100}$$

Multiply 100 and 100 to get 10000.

$$\frac{x}{10000}$$

Differentiate w.r.t. x

$$\frac{1}{10000} = 0.0001$$

Steps Using Definition of a Derivative

Multiply \frac{x}{100} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{100\times 100})$$

Multiply 100 and 100 to get 10000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{10000})$$

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

$$\frac{1}{10000}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{10000}x^{0}$$

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

$$\frac{1}{10000}\times 1$$

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

$$\frac{1}{10000}$$