If `y=(3a^(2)x-x^(3))/(a^(3)-3ax^(2))` then find `(dy)/(dx)`

If y=(x)/(x^(2)+1) , then find (dy)/(dx)

If x^y+y^x=2, find (dy)/(dx) .

If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=

If y=f((3x+4)/(5x+6))andf'(x)=tanx^(2), then (dy)/(dx) is equal to

Find (dy)/(dx) in the following: y= tan^(-1) ((3x-x^(3))/(1-3x^(2))), |x| < (1)/(sqrt3)

If y=1+x+(x^(2))/(2!)+(x^(2))/(3!)+……+(x^(n))/(n!) then (dy)/(dx) =…………

x=acos^(3)theta,y=asin^(3)theta then find (d^(2)y)/(dx^(2))

Let y=(2^(log_(2^(1//4))x)-3^(log_(27) (x^(2)+1)^(3))-2x)/(7^(4 log_(4 9)x)-x-1) and (dy)/(dx)=ax+b , the ordered pair (a, b) is

If y=1+(x)/(1!)+(x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+...oo, then find the value of (dy)/(dx) .