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Popular Calculus >

(d^2)/(dx^2)(xy)

Solution

\frac{d ^{2}}{d x ^{2}} (x y)

Solution

2 \frac{d y}{d x} + x \frac{d ^{2} y}{d x ^{2}}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x y)

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

= \frac{d}{d x} (y + x \frac{d y}{d x})

\frac{d}{d x} (y + x \frac{d y}{d x}) = 2 \frac{d y}{d x} + x \frac{d ^{2} y}{d x ^{2}}

= 2 \frac{d y}{d x} + x \frac{d ^{2} y}{d x ^{2}}

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Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(xy) ?
The answer to (d^2)/(dx^2)(xy) is 2(dy)/(dx)+x(d^2y)/(dx^2)