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

Revision as of 21:50, 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:

(c)

Step 1:

@@ Line 3: / Line 3: @@
 ::::::<math>x^3+y^3=6xy</math>
-::<span class="exam">a) Using implicit differentiation, compute <math>\frac{dy}{dx}</math>.
+<span class="exam">a) Using implicit differentiation, compute <math>\frac{dy}{dx}</math>.
-::<span class="exam">b) Find an equation of the tangent line to the curve <math>x^3+y^3=6xy</math> at the point <math>(3,3)</math>.
+<span class="exam">b) Find an equation of the tangent line to the curve <math>x^3+y^3=6xy</math> at the point <math>(3,3)</math>.
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