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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
If xy + 3ey = 3e, find the value of y'' at the point where x = 0.
Solution:
Given, xy + 3ey = 3e
Taking derivative,
d(xy + 3ey)/dx = d/dx (3e)
d(xy)/dx + d(3ey)/dx = d/dx (3e)
On solving,
(1 + xdy/dx) + 3e dy/dx = 0
On grouping,
dy(x+3e)/dx = -1
dy/dx = -1/(x+3e)
Now, calculating second order derivative
y'' = d2y/dx2+3e))/dx
d2y/dx2 = 1/(x+3e)2
Y’’ at x = 0 is found to be
d2y/dx2 = 1/(3e)2
d2y/dx2 = 1/9e2
Therefore, the value of y” at x = 0 is 1/9 e2.
If xy + 3ey = 3e, find the value of y'' at the point where x = 0.
Summary:
For xy + 3ey = 3e, the value of y'' at the point where x = 0 is 1/9e2.
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