A curve C is defined by the equation sin3y + 3y*e^(-2x) + 2x^2 = 5, find dy/dx
d(sin3y)/dx= 3cos3y*(dy/dx)d(3ye^(-2x))/dx = -6ye^(-2x) + 3(dy/dx)e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y(dy/dx) - 6y*e^(-2x) + 3(dy/dx)e^(-2x) + 4x = 0rearrange the equationdy/dx = (6ye^(-2x)-4x)/(3cos3y + 3e^(-2x))
ZZ
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