Solve (frac{sqrt{4-3}*5}{(2+6)+x})=

$$( \frac { \sqrt { 4 - 3 } \times 5 } { ( 2 + 6 ) + x } ) =$$

Evaluate

$$\frac{5}{x+8}$$

Solution Steps

Subtract 3 from 4 to get 1.

$$\frac{5\sqrt{1}}{2+6+x}$$

Calculate the square root of 1 and get 1.

$$\frac{5\times 1}{2+6+x}$$

Multiply 5 and 1 to get 5.

$$\frac{5}{2+6+x}$$

Add 2 and 6 to get 8.

$$\frac{5}{8+x}$$

Differentiate w.r.t. x

$$-\frac{5}{\left(x+8\right)^{2}}$$