Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
BANSAL-LIMITS AND DERIVATIVES-All Questions
- Find (dy)/(dx) , if x=(sin^3t)/(sqrt(cos2t)) , y=(cos^3t)/(sqrt(cos2t)...
Text Solution
|
- Find (dy)/(dx) , if x=acostheta , y=bcostheta
Text Solution
|
- Find (dy)/(dx) , if x=costheta-cos2theta , y=sintheta-sin2theta
Text Solution
|
- Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(si...
Text Solution
|
- Find (dy)/(dx) , if x=a(cost+logtant/2) , y=asint
Text Solution
|
- Find (dy)/(dx) , if x=asectheta , y=btantheta
Text Solution
|
- Find (dy)/(dx) , if x=a(costheta+thetasintheta) , y=a(sintheta-thetaco...
Text Solution
|
- If x=sqrt(a^sin^((-1)t)) , y=sqrt(a^cos^((-1)t)) , show that (dy)/(...
Text Solution
|
- If y = x^3 + tan x, show that (d^2y)/dx^2= 6x + 2 sec^2 tanx.
Text Solution
|
- If y=3e^(2x)+2e^(3x) , prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0 .
Text Solution
|
- If y=sin^(-1)x , show that (1-x^2)\ (d^2y)/(dx^2)-x(dy)/(dx)=0 .
Text Solution
|
- If y=5cosx-3sinx , prove that (d^2y)/(dx^2)+y=0 .
Text Solution
|
- If y=3cos(logx)+4sin(logx) , show that x^2y2+x y1+y=0
Text Solution
|
- If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n ...
Text Solution
|
- If e^y(x+1)=1 . Show that (d^2y)/(dx^2)=((dy)/(dx))^2
Text Solution
|
- If y=(tan^(-1)x)^2 , show that (x^2+1)^2y2+2x(x^2+1)y1=2 .
Text Solution
|
- For a positive constant a find (dy)/(dx) , where y=a^(t+1/t) and x=(t+...
Text Solution
|
- Differentiate sin^2x w.r.t. e^(cosx) .
Text Solution
|
- Find (dy)/(dx) , if y=12(1-cost) , x=10(t-sint)
Text Solution
|
- Find (dy)/(dx) , if y=sin^(-1)x+sin^(-1)sqrt(1-x^2) , -1lt=xlt=1
Text Solution
|