Solve x^6/n^4-256

$$\frac{ { x }^{ 6 } }{ { n }^{ 4 } } -256$$

Evaluate

$$\frac{x^{6}}{n^{4}}-256$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 256 times \frac{n^{4}}{n^{4}}.

$$\frac{x^{6}}{n^{4}}-\frac{256n^{4}}{n^{4}}$$

Since \frac{x^{6}}{n^{4}} and \frac{256n^{4}}{n^{4}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{x^{6}-256n^{4}}{n^{4}}$$

Differentiate w.r.t. x

$$\frac{6x^{5}}{n^{4}}$$