Q1.Find the differential coefficient of cos^-1x .

Q2.Find the  second differential coefficient of sin(cosx) .

Q3. Find the second , third differential coefficient of e^3x .x⁵ .

Q4.Find n^th differential coefficient  of cos(ax+b) .

Q5.If  x=acosϴ , y=bsinϴ then find  .

Q6.If cos^{-1  =}   prove that x² y_n+2 +(2n+1) xy_n+1 +2 n² y_n  =0

Q7. Find the n^th differential coefficient of .

Q8.If y=f(x)=sin(ax+b) then prove that y_n =  =aⁿ sin .

Q9. If y=  then prove that (1+x²)  +(2x-1)  = 0

Q10 If y=sec^-1   +  ,then prove that  =0.