Solve sqrt{10y}*sqrt{10y}

$$\sqrt { 10 y } \cdot \sqrt { 10 y }$$

Evaluate

$$10y$$

Solution Steps

Multiply \sqrt{10y} and \sqrt{10y} to get \left(\sqrt{10y}\right)^{2}.

$$\left(\sqrt{10y}\right)^{2}$$

Calculate \sqrt{10y} to the power of 2 and get 10y.

$$10y$$

Differentiate w.r.t. y

$$10$$

Steps Using Definition of a Derivative

Multiply \sqrt{10y} and \sqrt{10y} to get \left(\sqrt{10y}\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\left(\sqrt{10y}\right)^{2})$$

Calculate \sqrt{10y} to the power of 2 and get 10y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(10y)$$

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

$$10y^{1-1}$$

Subtract 1 from 1.

$$10y^{0}$$

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

$$10\times 1$$

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

$$10$$