Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- If y=e^(-x)cosxa n dyn+kn y=0,w h e r eyn=(d^(n y))/(dx^n)a n dkn are ...
Text Solution
|
- If a function is represented parametrically be the equations x=(1+(lo...
Text Solution
|
- Prove (a + b + c) (ab + bc + ca) > 9abc
Text Solution
|
- Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...
Text Solution
|
- If y=a e^(m x)+b e^(-m x), then (d^2y)/(dx^2) is equals to
Text Solution
|
- If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...
Text Solution
|
- If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a)x/(...
Text Solution
|
- (d^n)/(dx^n)(logx)=? (a)((n-1)!)/(x^n) (b) (n !)/(x^n) (c)((n-2)!)/(...
Text Solution
|
- If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...
Text Solution
|
- The differential coefficient of f((log)e x) with respect to x , where ...
Text Solution
|
- If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...
Text Solution
|
- If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...
Text Solution
|
- if f(x) = sqrt(1-sin2x), then f'(x) is equal to
Text Solution
|
- If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...
Text Solution
|
- If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...
Text Solution
|
- If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...
Text Solution
|
- f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also,f(3)=5 and...
Text Solution
|
- Match the value of x in column II where derivative of the function in ...
Text Solution
|
- If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (-2)/(1+x^2) for all ...
Text Solution
|
- Each question contains statements given in two columns which have to...
Text Solution
|