Solve (frac{sqrt{(1+3)}-4}{2*(5-3)+x})=

$$( \frac { \sqrt { ( 1 + 3 ) } - 4 } { 2 \times ( 5 - 3 ) + x } ) =$$

Evaluate

$$-\frac{2}{x+4}$$

Solution Steps

Add 1 and 3 to get 4.

$$\frac{\sqrt{4}-4}{2\left(5-3\right)+x}$$

Calculate the square root of 4 and get 2.

$$\frac{2-4}{2\left(5-3\right)+x}$$

Subtract 4 from 2 to get -2.

$$\frac{-2}{2\left(5-3\right)+x}$$

Subtract 3 from 5 to get 2.

$$\frac{-2}{2\times 2+x}$$

Multiply 2 and 2 to get 4.

$$\frac{-2}{4+x}$$

Differentiate w.r.t. x

$$\frac{2}{\left(x+4\right)^{2}}$$