Find the derivative

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NOBFAVPU21

Mathematics

Description

 Find d2y/dx2.

x = 5 sin t,    y = 6 cos t,    0 < t < 2π

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Explanation & Answer

dy/dt = -6sin t

dx/dt = 5cos t

dy/dx = -6/5 tan t

d2y/dx2  = -6/5 sec2  t * 1/(5 cos t) = -6/25 sec 3 t



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