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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -CHAPTER PRACTICE (4 MARK)
- Find the derivative of cos(sqrt(x)).
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- Find (dy)/(dx), if y^(x)+x^(y)+x^(x)=a^(b)
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- Show that the function f(x)=|x-3|,x in R is continuous but not differe...
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- Differentiate x^(sin x) w.r.t x.
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- Examine the continuity of the function f(x)={{:((|sinx|)/(x)", "x!=...
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- Show that the function f(x)={{:((|x-a|)/(x-1)", "x!=a),(1", ...
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- Discuss the continuity of, the function f(x){:{((x)/(|x|+2x^(2))", "x!...
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- If the function f(x)={:{(3ax+b", if "xgt1),(11", if "x=1)...
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- Find all points of discontinuity of f, where f is defined by f(x)={:{(...
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- Find the value of k so that the function f is continuous at x=pi//2,f(...
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- The function f(x)={:{(x^(2)/a", if "0lexlt1),(a", if "1...
04:02
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- If the function f(x) defined by f(x)={((log(1+ax)-log(1-bx))/(k)", if ...
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- Examine the continuity of the following function f(x)={{:((x)/(2|x|)",...
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- Find the point of discontinuity, if any of the following function f(x)...
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- Find the point of discontinuity of the function f(x)={:{((sin2x)/(x)",...
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- If function f(x)=|x-3|+|x-4|, then show that f(x) is not differentiabl...
06:18
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- Differentiate tan^(-1)((sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sq...
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- If y=x^(sinx-cosx)+(x^(2)-1)/(x^(2)+1), then find (dy)/(dx)
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- If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).
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- Find (dy)/(dx), if y=(cosx)^(x)+(sinx)^(1//x).
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