Solve x^2*sqrt{4}

$${ x }^{ 2 } \times \sqrt{ 4 }$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

Calculate the square root of 4 and get 2.

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

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

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

Multiply 2 times 2.

$$4x^{2-1}$$

Subtract 1 from 2.

$$4x^{1}$$

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

$$4x$$

Evaluate

$$2x^{2}$$

Solution Steps

Calculate the square root of 4 and get 2.

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