Solve -xsqrt{1/}

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

Evaluate

$$-x$$

Solution Steps

Divide 1 by 1 to get 1.

$$\left(-x\right)\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$\left(-x\right)\times 1$$

Multiply -1 and 1 to get -1.

$$-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Definition of a Derivative

Divide 1 by 1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\sqrt{1})$$

Calculate the square root of 1 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-x\right)\times 1)$$

Multiply -1 and 1 to get -1.

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

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

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

Subtract 1 from 1.

$$-x^{0}$$

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

$$-1$$