CALCULUS DERIVATIVES?

Find du/dv : cos(U) = sin(V)

Linda2012-11-24T20:18:32Z

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Ummm... I'm not really sure what you're asking for here. The derivative of cos(u) is -sin(u)... Unless you wanted to know the derivative of cos(u)/sin(v) ? I'll solve that... So:

You want to use the quotient rule which is as follows:

[-sin(u)*sin(v) - cos(u)*cos(v)]/(sin(v))^2

Anonymous2012-11-25T04:23:05Z

du/dv ( cos(U) = sin(V) )

The derivative of cos(U) is -sin(U)
-sin(U) = dV/dU(sin(V))

and the derivative of sin(V) is 0 so:

-sin(U) = 0

Simplified you get just: sin(U) = 0

Master2012-11-25T04:16:55Z

cosU = sinV
-sinU dU = cosV dV
Therefore, dU/dV = -cosV/sinU