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A: Thanks for the question :)And your upvote will be really appreciable ;)
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![4. Prove that : ~[Vx(~q(x))] = [3x q(x)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bc7733f-239b-44d3-8932-ec574e8191d8%2Fd4d6f64b-ad1a-4e85-b80e-a88df73fcfd6%2Fzsnbvg_processed.jpeg&w=3840&q=75)
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- Suppose that ƒ(x) = x2 and g(x) = | x | . Then thecompositions( ƒ ∘ g)(x) = | x | 2 = x2 and (g ∘ ƒ)(x) = | x2| = x2 are both differentiable at x = 0 even though g itself is not differentiable at x = 0. Does this contradict the Chain Rule? Explain.Determine two functions, defined on the interval ( − ∞ , ∞ ) , whose Wronskian is given by W ( f 1 , f 2 ) = e 2 x . Are the functions that you found linearly independent on ( − ∞ , ∞ ) ? How do you know?