Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
- The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5)with respec...
Text Solution
|
- Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...
Text Solution
|
- If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...
Text Solution
|
- If f(x-y)=f(x).g(y)-f(y).g(x) and g(x-y)=g(x).g(y)+f(x).f(y) for all x...
Text Solution
|
- If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none ...
Text Solution
|
- The right hand derivative of f(x) = [x] tanpix at x = 7 is (where [.] ...
Text Solution
|
- If y=(x^2)/2+1/2xsqrt(x^2+1)+1/2(log)esqrt(x+sqrt(x^2+1)) , prove that...
Text Solution
|
- Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...
Text Solution
|
- If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2 and y(x)=f(e...
Text Solution
|
- If y=x^((log x)^(log(log,x)))," then "(dy)/(dx) is
Text Solution
|
- d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2s...
Text Solution
|
- Let g(x)=e^(f(x)) and f(x+1)=x+f(x) AA x in R. If n in I^(+)", then"(g...
Text Solution
|
- Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...
Text Solution
|
- If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...
Text Solution
|
- Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0 where[x] denotes the greate...
Text Solution
|
- Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...
Text Solution
|
- f is a strictly monotonic differentiable function with f^(prime)(x)=1/...
Text Solution
|
- Suppose f: R->R^+ be a differentiable function such that 3f(x+y)=f(x)f...
Text Solution
|
- Vertices of a variable acute angled triangle A B C lies on a fixed cir...
Text Solution
|
- In a question a student was given to find the derivative of the prod...
Text Solution
|