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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Functions

NDA 2022 · Mathematics · Functions

Consider the following in respect of the function f(x)=10^x : 1....

Consider the following in respect of the function f(x)=10xf(x)=10^x : 1. Its domain is (−∞,∞)2.Itisacontinuousfunction3.Itisdifferentiableat(-\infty, \infty) 2. It is a continuous function 3. It is differentiable at x=0Whichoftheabovestatementsarecorrect?Which of the above statements are correct?

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1, 2 and 3

Correct answer

D. 1, 2 and 3

Step-by-step solution


It is clear from function that domain =(−∞,∞)=(-\infty, \infty) and it is continuous function unique tangant can be drawn at x=0\mathrm{x}=0 so, it is differentiable at x=0\mathrm{x}=0
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