Solve x/4*2/x^2:-12

$$\frac { x } { 4 } \times \frac { 2 } { x ^ { 2 } } : - 12$$

Evaluate

$$-\frac{1}{24x}$$

Solution Steps

Multiply \frac{x}{4} times \frac{2}{x^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{x\times 2}{4x^{2}}}{-12}$$

Cancel out 2x in both numerator and denominator.

$$\frac{\frac{1}{2x}}{-12}$$

Express \frac{\frac{1}{2x}}{-12} as a single fraction.

$$\frac{1}{2x\left(-12\right)}$$

Multiply 2 and -12 to get -24.

$$\frac{1}{-24x}$$

Differentiate w.r.t. x

$$\frac{1}{24x^{2}}$$