SOLUTION: Find dy/dX of the following. a) y=-1/6(e^(-3x))+x^(2x-1) b) 3x^(2)y-xy^(2)=sin^(2)3x

Question 1067397: Find dy/dX of the following.
a) y=-1/6(e^(-3x))+x^(2x-1)
b) 3x^(2)y-xy^(2)=sin^(2)3x
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find dy/dX of the following.
a) y=-1/6(e^(-3x))+x^(2x-1)
I did that yesterday.
===============
I'll use CAPS for the variables.
b) 3X^2Y-XY^2 = sin^2(3X)
6XYdx + 3X^2dy -Y^2dx - 2XYdy = 2sin(3X)cos(3X)*3dx
6XYdx - 6sin(3X)cos(3X)dx - Y^2dx = 2XYdy - 3X^2dy
(6XY - 6sin(3X)cos(3X) - Y^2)dx = (2XY - 3X^2)dy
dy/dx =
Or,
dy/dx =

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