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Exercises from public domain textbooks. Solutions where provided do not necessary follow the same lines as the original.

Solutions are not given for exercises whose number is not linked

Some exercises which do not have a textbook solutions are worked: beware of errors.

Find dx/dy implicitly and solve for y and differentiate explicitly:

C25-10

{$$ (x + y)^3 - 2x = 4 $$}

C25-11

{$$ xy^2 - x^2 + y^2 - 0 $$}

Find dx/dy implicitly. When possible, check by solving for y and differentiating explicitly:

C25-12

{$$ x^2 + 2xy + y^2 = 2 $$}

C25-13

{$$ x^2y^2 -8xy +7 = 0 $$}

C25-14 *note: d and x in the equation are the variables d and x*

{$$ ax^2 + 2bxy +cy^2 + 2dx + 2ey +f =0 $$}

C25-15

{$$ ax^2 + 2hxy + by^2 = k $$}

C25-16

{$$ y^4 - 2y^2x + x^2 = 0 $$}

C25-17

{$$ \sqrt{x} + \sqrt{y} = \sqrt{a} $$}

C25-18

{$$ x^{3/2} +y^{3/2} = a^{3/2} $$}

*Sources:*

*Elements of the Differential and Integral Calculus***Wikisource***Calculus Made Easy*by Silvanus P. Thompson**Project Gutenberg**- Davis,Ellery Williams, William Charles Brenke, Earle Raymond Hedrick.
*The Calculus*(Macmillan Company, 1922) Google Books - Love, Clyde E., Earl David Rainville
*Differential and Integral Calculus*(Macmillian, 1916) Google Books

*Recommended:*

**Category:** Math Calculus Implicit Differentiation

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