यदि `x=a(cost+t sint)` और `y=a(sint-t cost),` तो `(d^(2)y)/(dx^(2))` ज्ञात कीजिए ।

यदि `x=a(cost+t sint)` और `y=a(sint-t cost),` तो `(d^(2)

1.	यदि `x=a(cost+t sint)` और `y=a(sint-t cost),` तो `(d^(2)y)/(dx^(2))` ज्ञात कीजिए ।
Answer» `x=a(cost+t sint)` `rArr" "(dx)/(dt)=a(-sint+sint+t cos t)=at cost` तथा `y=a(sint-t cost)` `rArr" "(dy)/(dx)=a[cost-(-t sin t+cost)]=at sint` `therefore" "(dy)/(dx)=(dy//dt)/(dx//dt)=(at sin t)/(at cost)=tant` `" "(d^(2)y)/(dx^(2))=(d)/(dx)((dy)/(dx))=(d)/(dx)(tant)` `rArr" "=(d)/(dt(tant).(dt)/(dx)` `" "=sec^(2)t.(1)/(at cost)=(1)/(at)sec^(3)t`