
how to prove the chain rule? - Mathematics Stack Exchange
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 …
N'th derivative with chain rule - Mathematics Stack Exchange
Mar 2, 2021 · 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 somethi...
Proving double derivatives with the chain rule (I think?)
Hey StackExchange I'm having trouble understating where to start with this problem, I'm supposed to prove something about double derivatives and the chain rule but I'm having trouble understanding
Derivatives of logarithmic functions and the chain rule.
Currently this is how I do the chain rule: $ \frac {d} {dx} (x^2 + 4)^2 $ I would carry down the two like normal using the power rule but since this is a composition of function I have to use the chain rule so …
matrices - Using Chain Rule in Matrix Differentiation - Mathematics ...
Nov 12, 2017 · Rather than the chain rule, let's tackle the problem using differentials. Let's use the convention that an upppercase letter is a matrix, lowercase is a column vector, and a greek letter is a …
chain rule - Derivative of an even function is odd and vice versa ...
It means the value is the same, but with different sign. Odd function means rotational symmetric, if you rotate an arrow, I.e. direction, you will change by 180 degree, so it is the same slope, hence the …
Is there a chain rule for functional derivatives?
13 Yes. 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. In the …
calculus - Chain Rule Intuition - Mathematics Stack Exchange
The reason that a derivative can be written using a fractional notation is that derivatives are similar to fractions. A person might look at the chain rule and think, "Hey, this derivative times this derivative …
Find the derivative of absolute value using the chain rule
Apr 15, 2015 · Find the derivative of absolute value using the chain rule Ask Question Asked 10 years, 7 months ago Modified 5 years, 8 months ago
calculus - when do you use chain rule with square root - Mathematics ...
Oct 17, 2013 · This has nothing to do specifically with the square root function: the chain rule is always required when you’re differentiating a composite function, a ‘function of a function’, so to speak.