answersLogoWhite

0

I presume that since you labeled this as a Calculus problem that you mean x * 4y = 12?

x * 4y = 12 --->

4y = 12 / x --->

y = 3 / x --->

y = 3 * x^(-1)

You will notice that this function is not a line, but a curve. The slope will be different at different points on the line. Thus, we can't find the slope of the entire function, but we CAN find a function which gives us the slope of a tangent line at any point on the function. We do this by taking the derivative.

For f(x) = a * x^(n)

f'(x) = a * n * x^(n-1)

Using a = 3 and n = -1, we have:

y = f(x) = 3 * x^(-1)

dy/dx = f'(x) = 3 * -1 * x^(-1 - 1) = -3 * x^(-2)

So your answer will be:

dy/dx = -3 * x^(-2)

User Avatar

Wiki User

14y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
TaigaTaiga
Every great hero faces trials, and you—yes, YOU—are no exception!
Chat with Taiga
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: What is the slope x 4y equals 12?
Write your answer...
Submit
Still have questions?
magnify glass
imp