Solve x/4div-6

$$\frac { x } { 4 } \div - 6$$

Evaluate

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

Solution Steps

Express \frac{\frac{x}{4}}{-6} as a single fraction.

$$\frac{x}{4\left(-6\right)}$$

Multiply 4 and -6 to get -24.

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

Differentiate w.r.t. x

$$-\frac{1}{24} = -0.041666666666666664$$

Steps Using Definition of a Derivative

Express \frac{\frac{x}{4}}{-6} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4\left(-6\right)})$$

Multiply 4 and -6 to get -24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{-24})$$

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

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

Subtract 1 from 1.

$$-\frac{1}{24}x^{0}$$

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

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