Deriviative of natural log help finding y = 7 ln &#x2061;<!-- ⁡ --> 11 x </

Sattelhofsk

Sattelhofsk

Answered question

2022-06-24

Deriviative of natural log help finding
y = 7 ln 11 x
I need to use the product rule please
d d x ( 7 ) ( ln ( 11 / x ) + d d x ( ln 11 x ) 7
then
0 + d d x 11 x 7
what do i do

Answer & Explanation

Layla Love

Layla Love

Beginner2022-06-25Added 29 answers

d d x ln 11 x = d d x ( ln 11 ln x ) = 0 1 x .
The derivative of the first term is 0 since ln11 is a constant.
You can also use the chain rule:
d d x ln 11 x = 1 11 / x d d x 11 x
and then you have to find that last derivative. When you're done simplifying you'll get the same answer. But this method is more complicate than what is necessary, since you can use the first method above.
You don't really need the full-fledged product rule since 7 is a constant, so you can say
d d x ( 7 ln 11 x ) = 7 d d x ln 11 x .

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