Solve 100/x26/1

$$\frac { 100 } { x } \frac { 26 } { 1 }$$

Evaluate

$$\frac{2600}{x}$$

Solution Steps

Anything divided by one gives itself.

$$\frac{100}{x}\times 26$$

Express \frac{100}{x}\times 26 as a single fraction.

$$\frac{100\times 26}{x}$$

Multiply 100 and 26 to get 2600.

$$\frac{2600}{x}$$

Differentiate w.r.t. x

$$-\frac{2600}{x^{2}}$$

Steps Using Definition of a Derivative

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{100}{x}\times 26)$$

Express \frac{100}{x}\times 26 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{100\times 26}{x})$$

Multiply 100 and 26 to get 2600.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2600}{x})$$

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

$$-2600x^{-1-1}$$

Subtract 1 from -1.

$$-2600x^{-2}$$