Solve 69/10divx/10

$$\frac{ 69 }{ 10 } \div \frac{ x }{ 10 }$$

Evaluate

$$\frac{69}{x}$$

Solution Steps

Divide \frac{69}{10} by \frac{x}{10} by multiplying \frac{69}{10} by the reciprocal of \frac{x}{10}.

$$\frac{69\times 10}{10x}$$

Cancel out 10 in both numerator and denominator.

$$\frac{69}{x}$$

Differentiate w.r.t. x

$$-\frac{69}{x^{2}}$$

Steps Using Definition of a Derivative

Divide \frac{69}{10} by \frac{x}{10} by multiplying \frac{69}{10} by the reciprocal of \frac{x}{10}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{69\times 10}{10x})$$

Cancel out 10 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{69}{x})$$

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

$$-69x^{-1-1}$$

Subtract 1 from -1.

$$-69x^{-2}$$