Luke M.
asked 11/12/22Implicit Differentiation
Find y''
by implicit differentiation.
5x3 + 3y3 = 3
2 Answers By Expert Tutors

Yefim S. answered 11/12/22
Math Tutor with Experience
15x2 + 9y2y' = 0; y' = - 5x2/(3y2); y'' = -5/3[(2xy2 - 2yy'x2)/y4] = -5/3[(2xy- 2x2y')/y3] = - 10x/3(1/y2 + 5x3/(3y5))
Richard C. answered 11/12/22
Confidence-building Geometry tutor with 18 years experience
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Luke M.
I've found y' to be -(5x^2/3y^2) but I can't seem to get the correct 2nd implicit derivative11/12/22