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.