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BANSAL-CONTINUITY AND DIFFERENTIABILITY-All Questions
- The number of points at which the function, f (x)={{:(min {|x|"," x ...
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- If incident ray from point (-3, 2) parallel to the axis of parabola...
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- Let f be differentiable at x=a\ a n d\ l e t\ f(a)!=0. Evaluate (lim)(...
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- Show that the function f(x)={x^msin(1/x)0 ,x!=0,x=0 is differentiab...
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- Let f(x)=sgn(x) and g(x)= x(1-x^2), The number of points at which f(...
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- Q. f={(x+a if x<0), (x-11 if x>=0) g(x)={(x+1 if x<0),(x-1)^2 if x...
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- Discuss the differentiability of f(x)={(x-e)2^(- 2^((1/((e-x))))), x!=...
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- Find the domain of f^(prime)(x) if f(x)=[x/(1+|x|)]if\ |x|geq1 , x...
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- If f(x) is differentiable at x=a and f^(prime)(a)=1/4dot Find (lim)(h-...
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- Let f be a differentiable function satisfying f(x/y)=f(x)-f(y) f...
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- Suppose f is a derivable function that satisfies the equation f(x+y...
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- If f(x+y)=f(x)dotf(y),\ AAx in R\ a n df(x) is a differentiability...
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- If f(x+y)=f(x)+f(y),AAx ,\ y in R then prove that f(k x)=kf(x)for\ AA...
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- Discuss the differentiability of f(x)={(sinx^2)/x ,x!=0 0,x=0a tx=0
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- Discuss the differentiability of f(x)=|x|||x-1|dot
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- Discuss the differentiability of f(x)=m a xi mu m{2sinx ,1-cosx}AAx...
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- Discuss the differentiability of f(x)=e^(-|x|)
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- If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b...
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- Find the values of aa n db if f(x)={a+sin^(-1)(x+b),xgeq1x ,x<1 is di...
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- Discuss the continuity and differentiability of f(x)=|x+1|+|x|+|x-1|AA...
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