Math  /  Calculus

QuestionFind dydx\frac{d y}{d x} in terms of tt for the equations x=sin3tx=\sin^3 t and y=cos4ty=\cos^4 t.

Studdy Solution
implify the expression by canceling out common factors.
dydx=4Cos2t3Sint\frac{d y}{d x} = \frac{-4 \operatorname{Cos}^{2} t}{3 \operatorname{Sin} t}So, the derivative of yy with respect to xx in terms of the parameter tt is 4Cos2t3Sint\frac{-4 \operatorname{Cos}^{2} t}{3 \operatorname{Sin} t}.

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