If ax²+2hxy+by²=1 then (hx+by)³y₂=

d/dx{Tan^-1(acos x-bsin x/b cos x+a sin x)}=

If sin² mx+cos² ny=a² then dy/dx=

If x=sin^-1t, y= √(1-t²) then d²y/dx²=

The derivative of cos hx/2w.r.to x is

If P(x)is a polynomial of 3^rd degree and P’’(1)=0, P’’’(1)=6 then P’’(0)=

Let f(x+y)= f(x)f(y) for all x,y ε R. If f is differentiable at x=0, then

The derivative of (log x)^xw.r.to x is

The derivative of cot^-1(cosec x-cot x) w.r.to x is

If (y=1/1+x+x²+x³) then y₂(0)=