Solve d^2/d^2x^2-2/x^2+3

$$\frac { d ^ { 2 } } { d ^ { 2 } x ^ { 2 } } \frac { - 2 } { x ^ { 2 } + 3 }$$

Evaluate

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

Solution Steps

Cancel out d^{2} in both numerator and denominator.

$$\frac{1}{x^{2}}\times \frac{-2}{x^{2}+3}$$

Multiply \frac{1}{x^{2}} times \frac{-2}{x^{2}+3} by multiplying numerator times numerator and denominator times denominator.

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

Use the distributive property to multiply x^{2} by x^{2}+3.

$$\frac{-2}{x^{4}+3x^{2}}$$

Differentiate w.r.t. x

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