Solve 10/frac{440{x}}=

$$\frac { 10 } { \frac { 440 } { x } } =$$

Evaluate

$$\frac{x}{44}$$

Solution Steps

Divide 10 by \frac{440}{x} by multiplying 10 by the reciprocal of \frac{440}{x}.

$$\frac{10x}{440}$$

Divide 10x by 440 to get \frac{1}{44}x.

$$\frac{1}{44}x$$

Differentiate w.r.t. x

$$\frac{1}{44} = 0.022727272727272728$$

Steps Using Definition of a Derivative

Divide 10 by \frac{440}{x} by multiplying 10 by the reciprocal of \frac{440}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10x}{440})$$

Divide 10x by 440 to get \frac{1}{44}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{44}x)$$

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

$$\frac{1}{44}x^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{44}x^{0}$$

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

$$\frac{1}{44}\times 1$$

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

$$\frac{1}{44}$$