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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Show that the function 'f' given by: f(x) = |x-1|+|x-2|, x in R is c...
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- Locate the points of discontinuity of the function: f(x) = {:{((x^4-...
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- Examine the derivability of the following functions at the specified p...
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- Examine the derivability of the following functions at the specified p...
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- Examine the derivability of the following functions at the specified p...
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- Examine the derivability of the following functions at the specified p...
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- If 'f' is differentiable at x = a, find (underset(xrarra)lim(x^2f(a)-a...
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- If F(x) = f(Ax) and f(ax) is differentiable , then prove that F'(x) = ...
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- If f(x) = {:{(xsin(1/x),xne0),(0,x=0):} Show that 'f' is not different...
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- Show that the function defined by: f(x) : {:{(3-2x,ifx<2),(3x-7,ifxg...
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- Discuss the continuity of fx) at x =0, when: f(x) = {:{((e^(1//x) -1...
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- Show that the function: f(x) = {:{(2+x,ifxge0),(2-x,ifx<0):} is cont...
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- Show that the function 'f' defined as follows, is continuous at x = 2,...
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- The function 'f' defined as: f(x) = {:{(x^2+3x+a,ifxle1),(bx+2,ifx>1...
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- For what values of 'a' and 'b' the function: f(x) = {:{(x^2,xlec),(a...
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- Let f: R rarr R(R is the set of real numbers) be defined as follows: ...
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- Show that f(x) = |x-3|, x in R is continuous but not differentiable at...
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- Write an example of a function, which is continuous everywhere but fai...
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- Use Chain Rule to find the derivatives of the following: f(x) = (1-2...
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- Find the derivatives of the following: f(x) =(x^2+3x+4).
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