Solve x^21/h^2dx

$${ x }^{ 2 } \frac{ 1 }{ { h }^{ 2 } } dx$$

Evaluate

$$\frac{dx^{3}}{h^{2}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}\times \frac{1}{h^{2}}d$$

Express x^{3}\times \frac{1}{h^{2}} as a single fraction.

$$\frac{x^{3}}{h^{2}}d$$

Express \frac{x^{3}}{h^{2}}d as a single fraction.

$$\frac{x^{3}d}{h^{2}}$$

Differentiate w.r.t. x

$$3\times \left(\frac{x}{h}\right)^{2}d$$