Solve (xsqrt{3})(xsqrt{3})

$$(x \sqrt{ 3 } )(x \sqrt{ 3 } )$$

Evaluate

$$3x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$x^{2}\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$x^{2}\times 3$$

Differentiate w.r.t. x

$$6x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\sqrt{3}\sqrt{3})$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times 3)$$

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

$$2\times 3x^{2-1}$$

Multiply 2 times 3.

$$6x^{2-1}$$

Subtract 1 from 2.

$$6x^{1}$$

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

$$6x$$