A person might look at the chain rule and think, "Hey, this derivative times this derivative equals that derivative. This would be a lot easier to remember if we wrote derivatives as fractions, because then …

Mar 17, 2019 · However, using chain rule, we get 2 cos 2x 2 cos 2 x. So now the problem is that I don't see the purpose behind the chain rule. Why should sin 2x sin 2 x be 2 cos 2x 2 cos 2 x? Is there any …

Mar 8, 2015 · I have just learned about the chain rule but my book doesn't mention the proof. I tried to write a proof myself but can't write it. So can someone please tell me about the proof for the chain …

14 This is the question: "Show that the derivative of an even function is odd and that the derivative of an odd function is even. (Write the equation that says f f is even, and differentiate both sides, using the …

There is a chain rule for functional derivatives. As shown below, it takes a similar form to the chain rule for functions and in order to obtain it one has to be careful with the definitions.

Mar 2, 2021 · 3 I am trying to find a general form of the chain rule for higher derivatives, using the general Leibniz rule I got to the following formula. However it doesn't seem to work. I suspect it has …

3 The first derivative dy dx d y d x can be calculated with the chain rule: dy dx =f′(u) ⋅u′ = dy du ⋅ du dx d y d x = f (u) u = d y d u d u d x Now you need to apply the product rule and chain rule to find the …

Apr 15, 2015 · Find the derivative of absolute value using the chain rule Ask Question Asked 10 years, 9 months ago Modified 5 years, 10 months ago

In the context of discrete calculus, or calculus of finite differences, is there a theorem like the chain rule that can express the finite forward difference of a composition $∆(f\\circ g)$ in simpl...

Jul 25, 2020 · Second order derivative of a chain rule (regarding reduction to canonical form) Ask Question Asked 5 years, 5 months ago Modified 5 years, 5 months ago