Posted by **kevin** on Sunday, November 14, 2010 at 7:01pm.

find the equation of a tangent line of

x^(1/4) + y^(1/4) = 4 at the point (16,16)

- Calculus Tangent lines -
**MathMate**, Sunday, November 14, 2010 at 8:15pm
Use implicit differentiation to find y'.

x^(1/4)+y^(1/4)=4

differentiate with respect to x:

x^(-3/4)+y^(-3/4)*dy/dx=0

dy/dx

= -x^(-3/4)*y(3/4)

= -x^(-3/4)*(4-x^(1/4))^3

For x=16,

dy/dx = -1

Find the line that passes through (16,16) with a slope of dy/dx = -1.

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