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

Revision as of 21:24, 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 1: / Line 1: @@
+<span class="exam">A curve is defined implicityly by the equation
+::::::<math>x^3+y^3=6xy</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>.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;