Solve x/100*80152=

$$\frac { x } { 100 } \cdot 80152 =$$

Evaluate

$$\frac{20038x}{25}$$

Solution Steps

Express \frac{x}{100}\times 80152 as a single fraction.

$$\frac{x\times 80152}{100}$$

Divide x\times 80152 by 100 to get x\times \frac{20038}{25}.

$$x\times \frac{20038}{25}$$

Differentiate w.r.t. x

$$\frac{20038}{25} = 801\frac{13}{25} = 801.52$$

Steps Using Definition of a Derivative

Express \frac{x}{100}\times 80152 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times 80152}{100})$$

Divide x\times 80152 by 100 to get x\times \frac{20038}{25}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{20038}{25})$$

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

$$\frac{20038}{25}x^{1-1}$$

Subtract 1 from 1.

$$\frac{20038}{25}x^{0}$$

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

$$\frac{20038}{25}\times 1$$

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

$$\frac{20038}{25}$$