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.

## Answer This Question

## Related Questions

- cal - find the equation of a quadratic function whose graph is tangent at x=1 to...
- Calculus AB - Could someone please help me with these tangent line problems? 1) ...
- Tangent Lines (2)-Calculus - find an equation of the line tangent to y= sqrt(25-...
- Calculus AB - Sorry but I've got a lot of problems that I don't understand. 1) ...
- Tangent Lines-Calculus - a line is tangent to the curve y= (x^2 + 3)/ (x+3)^1/2 ...
- cal - Equations of the tangent lines to hyperbola xy=1 that pass through point...
- Calculus - If F(x)=x^3−7x+5, use the limit definition of the derivative to...
- Calculus - Consider line segments which are tangent to a point on the right ...
- Math - In this problem we consider drawing some straight lines which form a nice...
- calculus - Consider line segments which are tangent to a point on the right half...

More Related Questions