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Parametric Sums at t = 0

Difficulty: Medium · Topics: Calculus, Derivatives, Parametric Equations

t = 0 dagi parametrik yig‘indilar

For the curve given by the parameter t,

x=Σ k=1^n(1+t)^1-k, y=Σ k=1^n≤ft(2-1/k )(1-t)^k,

the value of dx/dt at t=0 is -6. Find dy/dt at t=0.

t parametr bilan berilgan egri chiziq uchun

x=Σ k=1^n(1+t)^1-k, y=Σ k=1^n≤ft(2-1/k )(1-t)^k,

t=0 da dx/dt ning qiymati -6 ga teng. t=0 da dy/dt ni toping.