Solve x^3y^5/3xdivy^4/x^2

$$\frac{x^3y^5}{3x} \div \frac{y^4}{x^2}$$

Evaluate

$$\frac{yx^{4}}{3}$$

Solution Steps

Divide \frac{x^{3}y^{5}}{3x} by \frac{y^{4}}{x^{2}} by multiplying \frac{x^{3}y^{5}}{3x} by the reciprocal of \frac{y^{4}}{x^{2}}.

$$\frac{x^{3}y^{5}x^{2}}{3xy^{4}}$$

Cancel out xy^{4} in both numerator and denominator.

$$\frac{yx^{2}x^{2}}{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{yx^{4}}{3}$$

Differentiate w.r.t. x

$$\frac{4yx^{3}}{3}$$