What is (d^2)/(dx^2)(3x^2-5y^2) ?

The answer to (d^2)/(dx^2)(3x^2-5y^2) is 6-10((dy)/(dx)^2+(d^2y)/(dx^2)y)

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(d^2)/(dx^2)(3x^2-5y^2)

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

Solution steps

\frac{d ^{2}}{d x ^{2}} (3 x^{2} - 5 y^{2})

\frac{d}{d x} (3 x^{2} - 5 y^{2}) = 6 x - 10 y \frac{d y}{d x}

= \frac{d}{d x} (6 x - 10 y \frac{d y}{d x})

\frac{d}{d x} (6 x - 10 y \frac{d y}{d x}) = 6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

= 6 - 10 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

\frac{d}{d x} (1 + 6 x)

x - 2

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

\frac{2}{ln ( x )}

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

What is (d^2)/(dx^2)(3x^2-5y^2) ?
The answer to (d^2)/(dx^2)(3x^2-5y^2) is 6-10((dy)/(dx)^2+(d^2y)/(dx^2)y)