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Popular >

(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}}

Popular Examples

integral from 0 to ln(4) of e^x-e^{-3x}

\int_{0}^{l n (4)} e^{x} - e^{- 3 x} d x

limit as x approaches+0 of (tan(x)-x)/x

x \to + 0 lim (\frac{tan ( x ) - x}{x})

(\partial)/(\partial y)(x^5ln(y^5))

\frac{\partial}{\partial y} (x^{5} ln (y^{5}))

(\partial)/(\partial x)(ln(6x))

\frac{\partial}{\partial x} (ln (6 x))

tangent of f(x)= 1/(x^2),(-3, 1/9)tangent of

f (x) = \frac{1}{x ^{2}}, (- 3, \frac{1}{9})

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)