Question

How do I differentiate ln(xy^2)=y

Answer 1

differentiate y with respect to x, i presume?

Answer 2

yes with respect to x

Answer 3

my first instinct says try implicit differentiation, but u substitution could be an option.

Answer 4

It is an implicit differentiation problem, however I can't figure out what ln(xy^2) differentiates to... if I could figure that out I could simplify it algebraically no problem

Answer 5

\[\frac{\delta y}{\delta x} \ln(xy^2) = y^2 * \frac{\delta}{\delta x} (x)\]

Answer 6

so since we are differentiating with respect to x, we can consider any 'y' portions to be constant and proceed as such.

Answer 7

but for implicit differentiation, you have to include a dy/dx term when you take the derivative

Answer 8

thank you! That helps me understand how to finish the problem much better!

Answer 9

The derivative is implicit, but it also requires chain rule (because xy^2 is a function) and, later, product rule (x times y^2). The right hand side is just dy/dx. That help?

Answer 10

https://i.imgur.com/Wjmpc6D.png

Answer 11

Assessment items
Assessment started: undefined.
Item 1

Read the passage.

Dark Star

Giselle leaned against the mahogany bay horse, stroking the white diam

Answer 12

Okay I was gone for a minute BUT I'M BACK NOW

Answer 13

the scatter plot presents Ray's monthly electricity bills and amount of time ray

Answer 14

Which word shares a connotative meaning with the word cheap as it is used in this sentence?

Ashley thought her parents were being cheap when they bought ge

Answer 15

Which revision fixes the dangling modifier in the sentence?

Rowing through the rapids, the canoe began to fill with water.

Answer 16

dangling modifier

Answer 17

Misplaced Modifiers

Answer 18

For which literary work did Joseph Heller use his military experiences as a prima

Answer 19

Calc III Tutorial: Lagrange Multipliers

Answer 20

Can someone translate this for me?

Answer 21

Find the interest due on $1,090 at 8% for 5 years.

43.60
68.13
436.00
681.25

Answer 22

Now identify the simple subject and simple predicate.

The meeting began promptly at seven o'clock.

Answer 23

What can be inferred from these lines describing the pardoner in Chaucer's prolog

Answer 24

What is the rate of change of the linear relationship modeled in the table?

x y

Answer 25

Which of these best identifies the shift of mood in this sentence?

"If you were to sit more comfortably, you will not fall off.

Answer 26

Which scenario best matches the linear relationship expressed in the equation y = u221214x + 1,700?

Kent has $1,700 in his bank account and spends $14 each

Answer 27

The saying "Whoso is a man must be a nonconformist" is based on whose transcendentalist belief?
A.

Answer 28

Relationship A has a lesser rate than Relationship B. This table represents Relationship B.

Answer 29

Which person was a transcendentalist writer from Brooklyn, New York, who celebrat