Mathematics, 15.07.2019 15:30, Porciabeauty4175
Find y'' by implicit differentiation. 3x^3 + 4y^3 = 5
Answers: 1
so 
and 
. That's the first derivative. Now for the second it's probably easiest to use the quotient rule, even though it's usually long and drawn out. That looks like this: ![\frac{dy}{dx}= \frac{4y^2(-6x)-[-3x^2(8y \frac{dy}{dx})] }{(4y^2)^2}](/tpl/images/0092/9689/484b1.png)
which simplifies a bit to 
. We will multiply both sides by that denominator to get rid of it which leaves us with 
. Get both dy/dx terms on the same side, and then factor it out. 
. Divide to isolate the dy/dx: 
. There's no simplifying you could do after that that would make any significant difference.
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 16:20, edjiejwi
An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.
Answers: 2
Mathematics, 21.06.2019 17:00, jenn8055
Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.
Answers: 1
Do you know the correct answer?
Find y'' by implicit differentiation. 3x^3 + 4y^3 = 5...
Questions in other subjects:
Physics, 30.12.2020 14:00
Mathematics, 30.12.2020 14:00
Mathematics, 30.12.2020 14:00
English, 30.12.2020 14:00
Social Studies, 30.12.2020 14:00
