Home
Class 12
MATHS
If y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b...

If `y=1/(sqrt(a^2-b^2))cos^(- 1)((acosx+b)/(a+bcosx)),` then `(d^2y)/(dx^2)=` (i) `(bsinx)/(a+bcosx)^2` (ii) `-(bsinx)/(a+bcosx)^2` (iii) `(bcosx)/(a+bcosx)^2` (iii) `-(bcosx)/(a+bcosx)^2`

Promotional Banner

Similar Questions

Explore conceptually related problems

int(sin2x)/(a+bcosx)^2dx

If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2

If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) at (pi/4,pi/4) is (a) -4 (b) -2 (c) -6 (d) 0

Let y=1n(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal (a)0 (b) 2/(1+cosx) (c) 4/(1+cosx) (d) (-4)/((1+cos"x")^2)

If y= A sin x+ B cos x , then prove that (d^(2)y)/(dx^(2))+y=0 .

If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a) (n y)/(sqrt(x^2+a^2)) (b) -(n y)/(sqrt(x^2+a^2)) (c) (n x)/(sqrt(x^2+a^2)) (d) -(n x)/(sqrt(x^2+a^2))

If y=(cos^(-1)x)^(2) prove that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-2=0

If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............ .

If y= cos^(-1) x , Find (d^(2)y)/(dx^(2)) in terms of y alone.

If y= e^(a cos^(-1)x), -1 le x le 1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx)-a^(2)y=0 .