Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
- xy=( x+y )^n and dy/dx = y/x then n= 1 b. 2 c. 3 d. 4
Text Solution
|
- If f(x)={(sin(pi/2)(x-[x]),x<5),(5(b-1),x=5),((a b^2|x^2-11 x+24|)/(x-...
Text Solution
|
- If f(x)={(2cos x -sin2x)/((pi-2x)^2),xlt=pi/2(e^(-cotx)-1)/(8x-4pi),x ...
Text Solution
|
- Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the gr...
Text Solution
|
- let f(x)=x^3-x^2-3x-1 , g(x)=(x+1)aand h(x)=f(x)/g(x) where h is a rat...
Text Solution
|
- For which of the following functions f(0) exists such that f(x) is con...
Text Solution
|
- Determine the values of a so that the funtion is continuous at x=1. f...
Text Solution
|
- Let f: R->R be any function. Also g: R->R is defined by g(x)=|f(x)| fo...
Text Solution
|
- Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-...
Text Solution
|
- The function f:R→R satisfies f(x^2 ).f ′′ (x)=f ′ (x).f ′ (x^...
Text Solution
|
- The second derivative of a single valued function parametrically re...
Text Solution
|
- If lim(x→0) (x^asin^b x)/(sin(x^c)), where a , b , c in ...
Text Solution
|
- (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^(-1) (2) -((d^2y)/(dx^2)...
Text Solution
|
- If f(1)=3,f^(prime)(1)=2,f ^(' ')(1)=4,t h e n(f^(-1))^(' ')(3)= a. 1...
Text Solution
|
- If (a+bx)e^(y/x)=x , Prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2
Text Solution
|
- If R=([1+((dy)/(dx))^2]^(3//2))/((d^2y)/(dx2)) , thenR^(2//3) can be p...
Text Solution
|
- If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a)3/2 (b) 3/(4t) (c) 3/(2t) (...
Text Solution
|
- The function f(x)=(x^3)/8-sinpix+4 in [-4,4] does not take the value a...
Text Solution
|
- If f(x)={(|x|-3 when x < 1), and (|x-2|+a , when x >= 1) & g(x)={2...
Text Solution
|
- The number of points of discontinuity of f(x)=[2x]^(2)-{2x}^(2) (where...
Text Solution
|