What is expand (d^2y)/(d^2x)(x^2+y^2=25) ?

The solution to expand (d^2y)/(d^2x)(x^2+y^2=25) is xy+(y^3)/x =25

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expand (d^2y)/(d^2x)(x^2+y^2=25)

expand

\frac{d ^{2} y}{d ^{2} x} (x^{2} + y^{2} = 25)

x y + \frac{y ^{3}}{x} = 25

Solution steps

\frac{d ^{2} y}{d ^{2} x} (x^{2} + y^{2} = 25)

= \frac{d ^{2} y}{d ^{2} x} (x^{2} + 25 = y^{2})

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{d ^{2} y}{d ^{2} x}, b = x^{2}, c = y^{2} = 25

\frac{d ^{2} y}{d ^{2} x} x^{2} + \frac{d ^{2} y}{d ^{2} x} y^{2} = 25

Expand

\frac{d ^{2} y}{d ^{2} x} x^{2} + \frac{d ^{2} y}{d ^{2} x} y^{2} : x y + \frac{y ^{3}}{x}

x y + \frac{y ^{3}}{x} = 25

\frac{d}{d t} ((x) (a (a t^{2} + b t + c) + b)^{r (x, t)})

\frac{2 x - 4}{( x ^{2} + x ) \cdot ( x ^{2} + 1 )}

\frac{5 ( - 2 y + 3 )}{6}

(t - sin (t)) (sin (t))

6 (2^{\frac{1}{6}} - 1)

What is expand (d^2y)/(d^2x)(x^2+y^2=25) ?
The solution to expand (d^2y)/(d^2x)(x^2+y^2=25) is xy+(y^3)/x =25