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Solve the product of difference of squares $\left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right)$
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$derivdef\left(x-\left(3\sqrt{y}\right)^2\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (x^1/2+3y^1/2)(x^1/2-3y^1/2) using the definition. Solve the product of difference of squares \left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right). The power of a product is equal to the product of it's factors raised to the same power. Find the derivative of x-9y 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 x-9y. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(x-9y\right).