- #1
cal.queen92
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Homework Statement
Find the slope of the tangent line to the curve:
sqrt(4x+2y) + sqrt(1xy) = 9.72
at the point (6,3)
Homework Equations
Derivative laws
The Attempt at a Solution
the slope of the tangent line to a curve is the Derivative of the function of the curve, so I need to find the derivative, right?
Now, to obtain the derivative, I feel as if I need to have the function as a function of y in terms of x. (f(x) = ... or y=x...). But every time I attempt to put the equation in that form I get stuck!
I tried squaring both sides of the equation, ending up with something ugly.
I also tried the following:
sqrt(4x+2y) + sqrt(1xy) = 9.72 --> sqrt(4x+2y) = 9.72 - sqrt(1xy)
and then squared both sides again and ended up with something ugly again.
Any Ideas?
Thanks!