Solve x2*(2+2)sqrt{4}

$$x2 \times (2+2) \sqrt{ 4 }$$

Evaluate

$$8x_{2}$$

Solution Steps

Add 2 and 2 to get 4.

$$x_{2}\times 4\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$x_{2}\times 4\times 2$$

Multiply 4 and 2 to get 8.

$$x_{2}\times 8$$

Differentiate w.r.t. x_2

$$8$$

Steps Using Definition of a Derivative

Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(x_{2}\times 4\sqrt{4})$$

Calculate the square root of 4 and get 2.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(x_{2}\times 4\times 2)$$

Multiply 4 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x_{2}}(x_{2}\times 8)$$

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

$$8x_{2}^{1-1}$$

Subtract 1 from 1.

$$8x_{2}^{0}$$

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

$$8\times 1$$

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

$$8$$