In the case of rational function, when taking the first derivative we take the numerator and find fo

Berghofaei0e

Berghofaei0e

Answered question

2022-05-13

In the case of rational function, when taking the first derivative we take the numerator and find for which point the function is equal to zero.
Now, for the second derivative, can we take the second derivative just of the numerator? it is not intuitive, as we need to take the second derivative of the whole function, but I did not find a counterexample
For example the function: x + 8 + 50 2 x 4

Answer & Explanation

Bumanro5mv

Bumanro5mv

Beginner2022-05-14Added 9 answers

We have
f ( x ) = 1 100 ( 2 x 4 ) 2
and
f ( x ) = 400 ( 2 x 4 ) 3
you can not take only the numerator for the second derivative, since we have a variable in the denominator

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