Question #680   Submitted by Answiki on 10/15/2021 at 08:10:17 PM UTC

How to calculate the derivative of f(g(x))?

Answer   Submitted by Answiki on 10/15/2021 at 08:02:58 PM UTC

The chain rule is a formula that expresses the derivative of the composition of two differentiable functions  and .



The derivative of  is:





The chain rule of  in Langrage's notation is:  or .



The chain rule of  in Leibniz's notation is:  .





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6 events in history
Question by Answiki 10/15/2021 at 08:10:23 PM
How to calculate the derivative of u(v(x))?
Question by Answiki 10/15/2021 at 08:10:17 PM
How to calculate the derivative of f(g(x))?
Question by Answiki 10/15/2021 at 08:03:28 PM
What is the formula of the chain rule?
Answer by Answiki on 10/15/2021 at 08:02:58 PM

The chain rule is a formula that expresses the derivative of the composition of two differentiable functions  and .



The derivative of  is:





The chain rule of  in Langrage's notation is:  or .



The chain rule of  in Leibniz's notation is:  .





Answer by Answiki on 10/15/2021 at 08:02:15 PM

The derivative of  is: 



The chain rule is a formula that expresses the derivative of the composition of two differentiable functions  and .


The chain rule of  in Langrage's notation is:  or .



The chain rule of  in Leibniz's notation is:  .





Question by Answiki 10/15/2021 at 07:50:57 PM
What is the formula for computing the derivative of the composition of two functions (chain rule)?
# ID Query URL Count
0 8579 derivative of f^g https://en.ans.wiki/680/how-to-calculate-the-derivative-of-fgx 1
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