Friday

March 6, 2015

March 6, 2015

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

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

- Calculus Tangent lines -
**MathMate**, Sunday, November 14, 2010 at 8:15pmUse 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...

Tangent Lines (2)-Calculus - find an equation of the line tangent to y= sqrt(25-...

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 ...

calculus - Consider line segments which are tangent to a point on the right half...

Calculus - Find the equation of the line tangent to the graph of y=4 e^x at x=2...

Calculus. I need help! - HARDER PARTS WAS 3(x^2+y^2)^2=26(y^2+y^2) Find the ...

COLLEGE CALCULUS. - Use implicit differentiation to find the equation of the ...