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Find a point on the curve y = x^2 where ...

Find a point on the curve `y = x^2` where the tangent is parallel to the chord joining (0,0) and (1,1)

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Discuss applicability of Lagrange's mean value theorem to the function...

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  2. Verify the Lagrange's Mean Value Theorem for the functions: f(x) = |...

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  3. Find a point on the curve y = x^2 where the tangent is parallel to the...

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  4. Find a point on the curve y = x^3 where the tangent is parallel to the...

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  5. Lagrange's Theorem to determine a point P on the curve f(x) = sqrt(x-2...

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  6. Using Mean value Theorem, prove that there is a point on the curve y =...

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  7. Using differentials find an approximate value of sqrt66

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  8. Let f(x) = (log(1+x))/(sinx) for x ne 0. Find f(0) if f is continuous ...

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  9. Let f(x) = (x+|x|)/x for x ne 0 and let f (0) = 0, Is f continuous at ...

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  10. Let f(X) = sin x cos x. Write down the set of points of discontinuity ...

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  11. Write the set of points of discontinuity of the signum function.

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  12. Find the derivative of following cot7x +3x^5 +sin3x

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  13. Let f(x) = (e^(1//x))/(1+e^(1//x)) for x ne 0. Find f (0) if f is left...

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  14. Show that the function f(x) = {:{(x^n sin(1/x), x ne 0),(0, x = 0):} i...

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  15. Find ainR so that f(x) = {:{(x^2, x ge0),(ax,x<0):} is continuous at 0...

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  16. Let f(x) = (2^(1/x))/(1+2^(1/x)) for x ne 0. Find f(0) if f is right c...

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  17. Let f(x) = [sinx], is f continuous at x = pi/2

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  18. Let f(x) = {:{(2x-5,if xge2),(x^2, if x <2):}. Is f continuous at x = ...

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  19. Determine the value of the constant k so that the function f(x) = {:{(...

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  20. Given f(x) = 1/(x+2). Write down the set of points of discontinuity of...

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