SOLUTION: Find the derivative of: If y (Y^3)

SOLUTION: Find the derivative of: If y (Y^3) - 4(x^2)y + 2(x^5) = 40

Question 701335: Find the derivative of:
If y
(Y^3) - 4(x^2)y + 2(x^5) = 40
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the derivative of:
If y
(Y^3) - 4(x^2)y + 2(x^5) = 40
==========================
wrt x, I assume.
y^3 - 4x^2y + 2x^5 = 40
3y^2dy - 4x^2dy - 8xydx + 10x^4dx = 0
3y^2dy - 4x^2dy = 8xydx - 10x^4dx
(3y^2 - 4x^2)dy = (8xy - 10x^4)dx
dy/dx = (10x^4 - 8xy)/(4x^2 - 3y^2)

RELATED QUESTIONS
Find the derivative of y = (3x + 2)(x^2 + 5) (answered by stanbon)

Find the derivative of y" if y= 3sin(x/3) (answered by jim_thompson5910)

Find the derivative... (answered by robertb)

Find the derivative of the function. Y=5/(2x)^3+2 cos... (answered by Fombitz)

Find the derivative for y=6/(5x-4)^2 and... (answered by Alan3354)

find the derivative of the following function: y=(2x-3)(x^3... (answered by Boreal)

find the derivative of the function y =... (answered by Fombitz)

sin(x+y)=x^2 find the... (answered by stanbon)

Derivative of y =... (answered by MathLover1)