Determine an expression for dy
dx given that x = sin3
(t)andy = cos3
(t)

Step-by-step explanation:

Recall that using the chain rule we can state:

and therefore solve for dy/dx as long as dx/dt is different from zero.

Then we find dy/dt  and dx/dt,

Given that

And similarly:

Therefore, dy/dx can be determined by the quotient of the expressions we just found:

now notice that we can find    from the expression for y,

and    from its expression for x.

Therefore dy/dx can be written in terms of x and y as:

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what are the