Question
Download Solution PDFLet f : R → R be differentiable at c ∈ R and f(c) = 0. If g(x) = |f(x)|, then at x = c, g is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFSince, f(c) = 0
Then,
and
⇒ g'(c) = f'(c) = -f'(c)
= f'(c) + f'(c)
⇒ 2f'(c) = 0
⇒ f'(c) = 0
Hence, g(x) is differentiable if f'(c) = 0
Last updated on May 23, 2025
-> JEE Main 2025 results for Paper-2 (B.Arch./ B.Planning) were made public on May 23, 2025.
-> Keep a printout of JEE Main Application Form 2025 handy for future use to check the result and document verification for admission.
-> JEE Main is a national-level engineering entrance examination conducted for 10+2 students seeking courses B.Tech, B.E, and B. Arch/B. Planning courses.
-> JEE Mains marks are used to get into IITs, NITs, CFTIs, and other engineering institutions.
-> All the candidates can check the JEE Main Previous Year Question Papers, to score well in the JEE Main Exam 2025.