Solve frac{3sqrt{12}}{x+21}

$$\frac { 3 \sqrt { 12 } } { x + 21 }$$

Evaluate

$$\frac{6\sqrt{3}}{x+21}$$

Solution Steps

Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.

$$\frac{3\times 2\sqrt{3}}{x+21}$$

Multiply 3 and 2 to get 6.

$$\frac{6\sqrt{3}}{x+21}$$

Differentiate w.r.t. x

$$-\frac{6\sqrt{3}}{\left(x+21\right)^{2}}$$