Solve frac{8.7/7x^2-frac{x^2{x^2}}}{x^2/{x^2}}

$$\frac{ \frac{ 8.7 }{ 7 { x }^{ 2 } - \frac{ { x }^{ 2 } }{ { x }^{ 2 } } } }{ \frac{ { x }^{ 2 } }{ { x }^{ 2 } } }$$

Evaluate

$$\frac{87}{10\left(7x^{2}-1\right)}$$

Solution Steps

Divide x^{2} by x^{2} to get 1.

$$\frac{\frac{8.7}{7x^{2}-1}}{\frac{x^{2}}{x^{2}}}$$

Divide x^{2} by x^{2} to get 1.

$$\frac{\frac{8.7}{7x^{2}-1}}{1}$$

Anything divided by one gives itself.

$$\frac{8.7}{7x^{2}-1}$$

Differentiate w.r.t. x

$$-\frac{609x}{5\left(7x^{2}-1\right)^{2}}$$