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Simplify the fraction $\frac{2x^2y}{3x}$ by $x$
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$derivdef\left(\frac{2xy}{3}\right)$
Learn how to solve differential equations problems step by step online. Find the derivative of (2x^2y)/(3x) using the definition. Simplify the fraction \frac{2x^2y}{3x} by x. Find the derivative of \frac{2xy}{3} using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is \frac{2xy}{3}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{2\left(x+h\right)y}{3}-\frac{2xy}{3} in a single fraction. Divide fractions \frac{\frac{2\left(x+h\right)y-2xy}{3}}{h} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.