Solve (4:x)*3)

$$( 4 : x ) \cdot 3 )$$

Evaluate

$$\frac{12}{x}$$

Solution Steps

Express \frac{4}{x}\times 3 as a single fraction.

$$\frac{4\times 3}{x}$$

Multiply 4 and 3 to get 12.

$$\frac{12}{x}$$

Differentiate w.r.t. x

$$-\frac{12}{x^{2}}$$

Steps Using Definition of a Derivative

Express \frac{4}{x}\times 3 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\times 3}{x})$$

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x})$$

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

$$-12x^{-1-1}$$

Subtract 1 from -1.

$$-12x^{-2}$$