The derivative of (ax+b)^cx+d w.r.to x is

If x=e^2tcos 3t, then d²x/dt² at t=π/2 is

If xy=c² then dy/dx=

If y= log sin x then y₂=

If f(x)= x(√x-√(x+1)) then

If y²=a²cos²x+b²sin²x then y+y₂=

d/dx{Tan^-1√(1-sin x/1+sin x)}=

If f(x)=√(x+2√(2x-4))+ )=√(x-2√(2x-4)) then

d/dx{x^1/x}=

d/dx {Tan^-14x/1+5x²+Tan^-12+3x/3-2x}=