Solve x/11/0.004

$$\frac { \frac { x } { 11 } } { 0.004 }$$

Evaluate

$$\frac{250x}{11}$$

Solution Steps

Express \frac{\frac{x}{11}}{0.004} as a single fraction.

$$\frac{x}{11\times 0.004}$$

Multiply 11 and 0.004 to get 0.044.

$$\frac{x}{0.044}$$

Differentiate w.r.t. x

$$\frac{250}{11} = 22\frac{8}{11} = 22.727272727272727$$

Steps Using Definition of a Derivative

Express \frac{\frac{x}{11}}{0.004} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{11\times 0.004})$$

Multiply 11 and 0.004 to get 0.044.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{0.044})$$

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

$$\frac{250}{11}x^{1-1}$$

Subtract 1 from 1.

$$\frac{250}{11}x^{0}$$

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

$$\frac{250}{11}\times 1$$

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

$$\frac{250}{11}$$