Solve 2g/k^2-h/k

$$\frac { 2 g } { k ^ { 2 } } - \frac { h } { k }$$

Evaluate

$$\frac{2g-hk}{k^{2}}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of k^{2} and k is k^{2}. Multiply \frac{h}{k} times \frac{k}{k}.

$$\frac{2g}{k^{2}}-\frac{hk}{k^{2}}$$

Since \frac{2g}{k^{2}} and \frac{hk}{k^{2}} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2g-hk}{k^{2}}$$

Differentiate w.r.t. g

$$\frac{2}{k^{2}}$$