Solve 2xsqrt{1}

$$2 x \sqrt { 1 }$$

Evaluate

$$2x$$

Solution Steps

Calculate the square root of 1 and get 1.

$$2x\times 1$$

Multiply 2 and 1 to get 2.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Calculate the square root of 1 and get 1.

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

Multiply 2 and 1 to get 2.

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

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.

$$2$$