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Let b be a nonzero real number. Suppose f:ℝ→ℝ is a differentiable function such that (0) = 1. If the derivative f′ of f satisfies the equation  for all x∈ℝ, then which of the following statements is/are TRUE? 
  • a)
    If b > 0, then  is an increasing function  
  • b)
    If b < 0, then  is a decreasing function  
  • c)
    (x) (−x) = 1 for all x∈ℝ
  • d)
    (x)−f(−x) = 0 for all x∈ℝ
Correct answer is option 'A,C'. Can you explain this answer?
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Let bbe a nonzero real number. Suppose f:→ is a differentiable fu...


⇒ ƒ(x) is increasing for all x ∈ R (option A) 
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Let bbe a nonzero real number. Suppose f:→ is a differentiable function such that (0) = 1. If the derivative f′ of fsatisfies the equationfor all x∈, then which of the following statements is/are TRUE?a)If b> 0, then  is an increasing function b)If b< 0, then  is a decreasing function c)(x) (−x) = 1 for all x∈d)(x)−f(−x) = 0 for all x∈Correct answer is option 'A,C'. Can you explain this answer?
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Let bbe a nonzero real number. Suppose f:→ is a differentiable function such that (0) = 1. If the derivative f′ of fsatisfies the equationfor all x∈, then which of the following statements is/are TRUE?a)If b> 0, then  is an increasing function b)If b< 0, then  is a decreasing function c)(x) (−x) = 1 for all x∈d)(x)−f(−x) = 0 for all x∈Correct answer is option 'A,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let bbe a nonzero real number. Suppose f:→ is a differentiable function such that (0) = 1. If the derivative f′ of fsatisfies the equationfor all x∈, then which of the following statements is/are TRUE?a)If b> 0, then  is an increasing function b)If b< 0, then  is a decreasing function c)(x) (−x) = 1 for all x∈d)(x)−f(−x) = 0 for all x∈Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let bbe a nonzero real number. Suppose f:→ is a differentiable function such that (0) = 1. If the derivative f′ of fsatisfies the equationfor all x∈, then which of the following statements is/are TRUE?a)If b> 0, then  is an increasing function b)If b< 0, then  is a decreasing function c)(x) (−x) = 1 for all x∈d)(x)−f(−x) = 0 for all x∈Correct answer is option 'A,C'. Can you explain this answer?.
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