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List of top Mathematics Questions on Calculus asked in AP ECET Metallurgical Eng

The set of all points of differentiability of the function $f(x)=e^{-|x|}$ is
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
If there is an error of 3% in the volume of a sphere then the percentage error in its radius is
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
The interval in which $f(x) = 2x^{2} - \log x$ increases is
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
The function $y = xe^{x}$ has}
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
$Lt_{x \to 0}\frac{e^{x^2}-cos x}{sin^2x}=$
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
Which of the following functions have finite number of points of discontinuity?
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
$Lt_{x \to 0}(\frac{|x|}{x}+x+2)=$
  • AP ECET Metallurgical Eng - 2026
  • AP ECET Metallurgical Eng
  • Mathematics
  • Calculus
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