Solve ysqrt{{left(/right)}^2}

$$y \sqrt{ { \left( \frac{ }{ } \right) }^{ 2 } }$$

Evaluate

$$y$$

Solution Steps

Divide 1 by 1 to get 1.

$$y\sqrt{1^{2}}$$

Calculate 1 to the power of 2 and get 1.

$$y\sqrt{1}$$

Calculate the square root of 1 and get 1.

$$y\times 1$$

For any term t, t\times 1=t and 1t=t.

$$y$$

Differentiate w.r.t. y

$$1$$

Steps Using Definition of a Derivative

Divide 1 by 1 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\sqrt{1^{2}})$$

Calculate 1 to the power of 2 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\sqrt{1})$$

Calculate the square root of 1 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y\times 1)$$

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

$$y^{1-1}$$

Subtract 1 from 1.

$$y^{0}$$

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

$$1$$