If x-10t-sin t- y-121-cos t- find dydx-

x=10(t sin t) Differentiating w.r.t. t, we get, dxdt=10(1 cos t) y=12(1 cos t) Differentiating w.r.t. t, we get, dydt=12sin t Thus, dydx= ...

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Parametric Differentiation

If x=10t-si...

Question

If $x = 10 (t - sin t), y = 12 (1 - cos t),$ find $\frac{d y}{d x} .$

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\frac{d y}{d x}

y = 12 (1 - cos t), x = 10 (t - sin t), - \frac{π}{2} < t < \frac{π}{2}

$F i n d \frac{d y}{d x} i f y = 12 (1 - c o s t), x = 10 (t - s i n t), - \frac{π}{x} < t < \frac{π}{2} .$

x = a (t + sin t), y = a (1 - cos t)

\frac{d x}{d y} = cot p

p =

\frac{d y}{d x}

t = \frac{π}{4}

x = c o s t

y = s i n t

x = a (t - sin t), y = a (1 - cos t),

d y / d x

t = π

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