" If "y=(1)/(1-5x+6x^(2))," find "y_(n)

y= tan^(-1)((5x+1)/(3-x-6x^(2))) find dy/dx

Fin d (dy)/(dx) ify =tan^(-1)((6x)/(1-5x^(2))) dy,1 Find if y=tan1-5x2

y= tan^(-1)((5-x)/(6x^(2)-5x-3)) find dy/dx

If the arithmetic mean of x and y be (x^(n+1)+ y^(n+1))/(x^(n) + y^(n)) , then find n.

The product of ((1)/(5)x^(2)-(1)/(6)y^(2)) and (5x^(2)+6y^(2)) is

If |x+1|+y=5 and x-|y|=2, find x+y

If tan x = (n)/(n + 1) and tan y = (1)/(2n + 1) , find tan (x + y).

Find the equations of the tangent and normal to the given curves at the indicated points : (i) y=x^(4)-6x+13x^(2)-10x+5" at "(0, 5) (ii) y=x^(4)-6x^(3)+13x^(2)-10x+5" at "(1, 3) . (iii) y= x^(3)" at " (1, 1) (iv) y=x^(2)" at " (1, 1) (v) x =cost, y = sin t" at "y=(pi)/(4) .

Find (dy)/(dx) if y=sin^(-1)[(6x-4sqrt(1-4x^(2)))/(5)]