Solve x^6/m^4-256

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

Evaluate

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

Short Solution Steps

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

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

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

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

Differentiate w.r.t. x

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