TS EAMCET · Maths · Differentiation
Assertion: For
Reason: For
- A Assertion is false but Reason is true.
- B Assertion is true but Reason is false.
- C Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
- D Both Assertion and Reason are true and Reason is the correct explanation of Assertion.
Answer & Solution
Correct Answer
(A) Assertion is false but Reason is true.
Step-by-step Solution
Detailed explanation
Note: Assuming base of logarithm as e. Given Assertion: for x<0, d2dx2log|x|=1|x|2 Reason: for x<0, |x|=-x So, let f(x)=log(|x|) For x<0 y=f(x)=log(-x) Now, dydx=1(-x)-1=1x d2ydx=-1x2 So, Assertion is wrong but reason is true.
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