Answer
Step by step text solution for If y = {x+sqrt (x^2 + a^2})^n, prove that dy/dx= (ny)/sqrt (x^2+a^2). by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.
|
Topper's Solved these Questions
DIFFERENTIABILITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TRUE OR FALSE QUESTIONS) TYPE-III|6 VideosView PlaylistDIFFERENTAL QUATIONS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|41 VideosView PlaylistINDEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 VideosView Playlist
Similar Questions
Explore conceptually related problems
ACCURATE PUBLICATION-DIFFERENTIABILITY-QUESTIONS CARRYING 4 MARKS
- If y = {x+sqrt (x^2 + a^2})^n, prove that dy/dx= (ny)/sqrt (x^2+a^2).
05:46
|
Playing Now - If (x)/(x-y)="log"(a)/(x-y), then prove that (dy)/(dx)=2-(x)/(y).
05:07
|
Play - If y=sqrt(x+1)-sqrt(x-1), prove that (x^(2)-1)(d^(2)y)/(dx^(2))+x(dy)/...
03:23
|
Play - If f(x)=sqrt(x^(2)+1),g(x)=(x+1)/(x^(2)+1) and h(x)=2x-3, then find f'...
04:11
|
Play - IF [x= a {(1 + t^2) /(1-t^2)] and [y= 2t/(1 -t^2)] find dy/dx.
07:33
|
Play - Differentiate 7x^(5)-11x^(2) w.r.t. 7x^(2)-15x.
01:50
|
Play - If x^(2)+y^(2)=t-(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), show that ...
02:37
|
Play - If ysqrt(x^(2)+1)=log(x+sqrt(x^(2)+1)), show that (x^(2)+1)(dy)/(dx)+x...
03:11
|
Play - If e^(x)+e^(y)=e^(x+y), prove that (dy)/(dx)+e^(y-x)=0.
02:47
|
Play - If xsqrt(1+y+)ysqrt(1+x)=0 then (dy)/(dx) equals.
03:33
|
Play - If y=x^(e^(x^(2))), find (dy)/(dx).
02:40
|
Play - If x^(y)=e^(x-y), then prove that (dy)/(dx)=(logx)/((1+logx)^(2))
03:20
|
Play - Differentiate the following w.r.t.x. If y^x = e^(y - x), prove that ...
04:03
|
Play - If x^p . y^q = (x + y)^(p + q) , show that (dy)/(dx) = y/x
04:37
|
Play - If x^16 . y^9 = (x^2 + y)^(17), prove that (dy)/(dx) = (2y)/x.
04:37
|
Play - Find (dy)/(dx), if y^(x) + x^(y) +x^(x) = a^(b).
07:51
|
Play - If y=asinx+bcosx, prove thaty^2+((dy)/(dx))^2=a^2+b^2
02:07
|
Play - If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^...
04:12
|
Play - Find the value of (dy)/(dx) at theta=(pi)/(4) if x=ae^(theta)(sintheta...
04:02
|
Play - If x=cost(3-2cos^(2)t) and y=sint(3-2sin^(2)t), find the value of (dy)...
04:27
|
Play