Solve sqrt{11c}*sqrt{11c}

$$\sqrt { 11 c } \cdot \sqrt { 11 c }$$

Evaluate

$$11c$$

Solution Steps

Multiply \sqrt{11c} and \sqrt{11c} to get \left(\sqrt{11c}\right)^{2}.

$$\left(\sqrt{11c}\right)^{2}$$

Calculate \sqrt{11c} to the power of 2 and get 11c.

$$11c$$

Differentiate w.r.t. c

$$11$$

Steps Using Definition of a Derivative

Multiply \sqrt{11c} and \sqrt{11c} to get \left(\sqrt{11c}\right)^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\left(\sqrt{11c}\right)^{2})$$

Calculate \sqrt{11c} to the power of 2 and get 11c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(11c)$$

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

$$11c^{1-1}$$

Subtract 1 from 1.

$$11c^{0}$$

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

$$11\times 1$$

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

$$11$$