Differentials - not understanding directions

In summary, a differential is a mechanical device that allows for different rotational speeds between two shafts. It works by using a set of gears to adjust to the speed difference between the shafts. The main components of a differential include the ring gear, pinion gear, spider gears, and differential case. There are various types of differentials such as open, limited slip, locking, and electronic, each with its own design and function. Signs that your differential may need to be serviced include strange noises, difficulty steering, and fluid leaks. Regular maintenance is important to ensure proper functioning and prevent potential issues.
  • #1
lp27
4
0

Homework Statement


Find dy and evaluate dy for the given value x and dx
.

y = x^3 - 3x, x = 2, dx = 0.05

Homework Equations





The Attempt at a Solution


I have no idea how to begin this problem.
I assumed that I find y'.
Then plug in x into y'.
Following that, I am not sure.
 
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  • #2
[tex]\mathrm{d}y = \frac{\mathrm{d}y}{\mathrm{d}x}\mathrm{d}x = y'\,\mathrm{d}x[/tex]
 
  • #3
Thank you, that was straight forward.
 

FAQ: Differentials - not understanding directions

What is a differential?

A differential is a mechanical device that transmits rotational motion from one shaft to another, while also allowing for a difference in speed between the two shafts.

How does a differential work?

A differential uses a set of gears to allow for different rotational speeds between the two shafts. When one shaft is rotating faster than the other, the gears inside the differential adjust to allow for the difference in speed.

What are the main components of a differential?

The main components of a differential include the ring gear, pinion gear, spider gears, and differential case. The ring gear is connected to the drive shaft, while the pinion gear is connected to the ring gear. The spider gears are located between the ring and pinion gears, and the differential case holds all the gears in place.

What are the different types of differentials?

There are several types of differentials, including open differentials, limited slip differentials, locking differentials, and electronic differentials. Each type has its own unique design and function, but they all serve the same purpose of allowing for different rotational speeds between two shafts.

How do I know if my differential needs to be serviced?

Some common signs that your differential may need to be serviced include strange noises coming from the differential, difficulty turning or steering, and leaking fluid. It is important to regularly check and maintain your differential to ensure proper functioning and prevent any potential issues.

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