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CENGAGE PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-All Questions
- Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...
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- Number of points where f(x)=|x sgn(1-x^2)| is non-differentiable is...
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- Let f(x) be differentiable for real such that f'(x)lt0" on "(-4,6) a...
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- Number of point where function f(x) defined as f:[0,2pi] rarrR,f(x)={{...
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- The differential coefficient of sin^(-1)((4sin2x+3cos2x)/5)with respec...
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- Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...
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- If f(x)=(log)x(lnx),t h e nf^(prime)(x) at x=e is equal to 1/e (b) e ...
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- 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...
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- If x e^(x y)-y=sin^2x then (dy)/(dx)a tx=0 is a. 0 b. 1 c. -1 d. none ...
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- The right hand derivative of f(x) = [x] tanpix at x = 7 is (where [.] ...
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- If y=(x^2)/2+1/2xsqrt(x^2+1)+1/2(log)esqrt(x+sqrt(x^2+1)) , prove that...
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- Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...
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- If for a continuous function f,f(0)=f(1)=0,f^(prime)(1)=2 and y(x)=f(e...
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- If y=x^((log x)^(log(log,x)))," then "(dy)/(dx) is
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- d/(dx)[cos^(-1)(xsqrt(x)-sqrt((1-x)(1-x^2)))]= 1/(sqrt(1-x^2))-1/(2s...
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- Let g(x)=e^(f(x)) and f(x+1)=x+f(x) AA x in R. If n in I^(+)", then"(g...
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- Let g(x) be the inverse of f(x) and f'(x)=1/(1+x^3). Then find g'(x) i...
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- If y=cos^(-1)sqrt((sqrt(1+x^2)+1)/(2sqrt(1+x^2))),t h e n(dy)/(dx) i...
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- Let f(x) =x[1/x]+x[x] if x!=0 ; 0 if x =0 where[x] denotes the greate...
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- Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...
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