Solve 2x+1sqrt{00}

$$2 x + 1 \sqrt { 00 }$$

Evaluate

$$2x$$

Solution Steps

Multiply 0 and 0 to get 0.

$$2x+1\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$2x+1\times 0$$

Multiply 1 and 0 to get 0.

$$2x+0$$

Anything plus zero gives itself.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Multiply 0 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+1\sqrt{0})$$

Calculate the square root of 0 and get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+1\times 0)$$

Multiply 1 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+0)$$

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x)$$

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

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$