Solve x*5*29/73/100

$$\frac{ x \times 5 \times \frac{ 29 }{ 73 } }{ 100 }$$

Evaluate

$$\frac{29x}{1460}$$

Solution Steps

Express 5\times \frac{29}{73} as a single fraction.

$$\frac{x\times \frac{5\times 29}{73}}{100}$$

Multiply 5 and 29 to get 145.

$$\frac{x\times \frac{145}{73}}{100}$$

Divide x\times \frac{145}{73} by 100 to get x\times \frac{29}{1460}.

$$x\times \frac{29}{1460}$$

Differentiate w.r.t. x

$$\frac{29}{1460} = 0.01986301369863014$$

Steps Using Definition of a Derivative

Express 5\times \frac{29}{73} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times \frac{5\times 29}{73}}{100})$$

Multiply 5 and 29 to get 145.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x\times \frac{145}{73}}{100})$$

Divide x\times \frac{145}{73} by 100 to get x\times \frac{29}{1460}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\times \frac{29}{1460})$$

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

$$\frac{29}{1460}x^{1-1}$$

Subtract 1 from 1.

$$\frac{29}{1460}x^{0}$$

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

$$\frac{29}{1460}\times 1$$

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

$$\frac{29}{1460}$$