Find the differential. Question is attached.

Question

anonymous · Answer

attachment

anonymous · Answer

The derivative of e^x is e^x. Then you need to perform chain rule to determine what a constant is.

anonymous · Answer

Idk how to use chain rule :(

anonymous · Answer

Okay: In math terms: f'(g(x))=f'(g(x))(g'(x))

Basically, you need to derive the first part of the equation the e^x of $$e ^{\frac{ x }{ 10 }}$$

And the multiply it by the derivative of x/10 and place that on the outside.

anonymous · Answer

ok so how do we derive teh 1st part of teh equation?

anonymous · Answer

Well, what is the derivative of e^x?

anonymous · Answer

wait so is it e^x * 1/10

anonymous · Answer

Yes.

anonymous · Answer

which is e^x/10

anonymous · Answer

Ok nice. So what do we do next?

anonymous · Answer

How do we do part B?

anonymous · Answer

Well: I'm going to assume that because it says dy and the only variable is x, they mean dy/dx

Therefore, take your equation you found in part A and multiply it by dx then sub in for x and dx.

anonymous · Answer

FOR PART A) what is the dy exactly? Is it e^x/10?

anonymous · Answer

No. It is e^x (1/10) dx.

anonymous · Answer

Oh i just forgot teh dx part

anonymous · Answer

You didn't really forget it. Most problems ask for dy/dx and I hurriedly looked at it and assumed the same.

anonymous · Answer

For sum reason when I type e^x (1/10) dx it marks it wrong. Idk why?

anonymous · Answer

AND Im confused on what u said to do for part B

anonymous · Answer

@malical please help