What is the derivative of y=6xy

Flambergru

Flambergru

Open question

2022-08-14

What is the derivative of y = 6 x y

Answer & Explanation

Howard Robertson

Howard Robertson

Beginner2022-08-15Added 6 answers

y = 6 y ( 1 - 6 x )
To get this we use the product rule:
d ( u . v ) d x = u . d v d x + u d v d x
y = 6 x y
y = 6 ( x y )
y = 6 ( x . d y d x + y d x d x )
y = 6 ( x y + y )
y = 6 x y + 6 y
y ( 1 - 6 x ) = 6 y
y = 6 y ( 1 - 6 x )
Since x = 1 6 then you can see that y' is undefined.
odigavz

odigavz

Beginner2022-08-16Added 2 answers

in short
if y = 6 x y
then (after dividing both sides by y)
XXX 1 = 6 x
or
XXX x = 1 6
This is a vertical line with an undefined slope.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?