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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Fill in the blanks: For all x in (6,7), d/(dx) ([x]) = ……………. .
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- Fill in the blanks: Derivative of sin x w.r.t cos x is …………… .
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- Fill in the blanks: Derivative of x^2 wr.t x^3 is …………… .
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- Fill in the blanks: If xge0, then d/(Dx) {cos^-1((1-x^2)/(1+x^2))} i...
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- The derivative of sin x cos x w.r.t. x is
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- Fill in the blanks: The derivative of log(10) x w.r.t x is …………….. ...
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- Fill in the blanks: If f(x) = |sin x|, then f'(pi/4) is equal to ………...
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- Fill in the blanks: Domain of continuity of the function f(x) =|x-1|...
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- Fill in the blanks: An example of a function which is continuous eve...
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- Fill in the blanks: For the curve sqrtx + sqrty = 1, dy/dx at (1/4, ...
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- Fill in the blanks: If f(x) = x^(2//3), then f'(0) is ……… .
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- Fill in the blanks: Rolle's Theorem is not applicable to the functio...
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- Every continuous function is differentiable.
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- True or False : d/(dx) (logx) = 1/x for all x ne 0.
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- True or False : d/(dx) (log|x|) = 1/x for all x ne 0
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- If f is continuous on its domain D, then |f| is also continuous on D.
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- True or False : Rolle's Theorem is applicable to the function f(x) =...
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- Verify the truth of Rolle's Theorem for the following functions: f(X...
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- True or False : The function f(x) = log x^2 has only one point of di...
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- The composition of two continuous function is a continuous function.
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