What is (d^2)/(dx^2)(x^2+y^2) ?

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

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(d^2)/(dx^2)(x^2+y^2)

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

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

Solution steps

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

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

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

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

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

f (x) = x x, (1, 1)

\int e^{4 x} sin (5 x) d x

x \to 0 lim (\frac{4}{x} - \frac{4}{x ^{2} + x})

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

\frac{d}{d a} (ab c d + 7 ab - 2 b c + 5 c d - 5)

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