Posted by smokey on Monday, November 15, 2010 at 8:05am.
what is the equation of the tangent line that passes through
X^(1/4) + y^(1/4) =4 at the point (16,16)
please give the equation

Calculus  Reiny, Monday, November 15, 2010 at 8:47am
(1/4)x^(3/4) + (1/4)y^(3/4) dy/dx = 0
dy/dx = x^(3/4)/y^(3/4)
= y^(3/4)/x^(3/4)
sub in the point(16,16) to get the slope.
since you have a point on the line and the slope, it becomes an easy question.
btw, 16^(3/4) = [ 16^(1/4) ]^3 = 2^3 = 8
so slope = 8/8 = 1