SOLUTION: a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3) �find the equation of the curve �find (d^2y/dx^2) �find stationary points and determine its nature

SOLUTION: a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3) �find the equation of the curve �find (d^2y/dx^2) �find stationary points and determine its nature

Algebra.Com

Question 934068: a curve (dy/dx) = x^1/2-x^-1/2 the curve passes through point (4,2/3)
�find the equation of the curve
�find (d^2y/dx^2)
�find stationary points and determine its nature
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Integrate,

Use the point to solve for

.
.
.

.
.

RELATED QUESTIONS
A curve is such that dy/dx = 2(3x + 4)^3/2 - 6x - 8 a) Find d^2y/dx^2 b) Verify that... (answered by ikleyn)

Find dy/dx of (3y^2/(1-3xy)) and find the point on the curve where dy/dx =... (answered by Edwin McCravy)

A curve passes through he point P(0,3.5) and is such that dy/dx=2-x. The normal to the... (answered by ikleyn,robertb)

Find dy/dx of the curve... (answered by stanbon)

Find the y-intercept of the curve that passes through the point (2, 7) if dy/dx = 9x (answered by greenestamps)

Obtain the equation of the curve y=ax^2+bx+c,using the following conditions (i)... (answered by Fombitz)

Please help me solve this equation: 1. Determine dy/dx for y = x√x(5x^2 − (answered by Fombitz)

Find the coordinates of the points on the curve y = x^2/(2x-1) where dy/dx = 0. (answered by josgarithmetic,ikleyn)

Given that y = √4x-7 - 2/3(x-4), find dy/dx and show that d^y/dx^2 = -4/(4x-7)√4x-7... (answered by greenestamps)