Difference between revisions of "009A Sample Final 1, Problem 7"

Revision as of 21:54, 1 February 2016

A curve is defined implicityly by the equation

x^{3}+y^{3}=6xy

a) Using implicit differentiation, compute ${\frac {dy}{dx}}$ .

b) Find an equation of the tangent line to the curve $x^{3}+y^{3}=6xy$ at the point $(3,3)$ .

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

Final Answer:
(a)
(b)

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 [[009A_Sample_Final_1|'''<u>Return to Sample Exam</u>''']]