In which function did I make a mistake?

Z

Zaiheinles

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Jun 23, 2021
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I am solving a test, in one of these 2 tasks I made a mistake.

1.Calculate the derivative of a function y=(4et)(1+et)y= \frac{(4e^t)}{(1+e^t)} at the point t = 0.
My answer is 1 (I am more confident in this answer than in the second task)

2. Find the differential of a function f(x)=ln(x2+1)f(x) = ln(x^2+1) at the point x=1 at Δx=0,1. The answer is multiplied by 10.
My answer is 1
 
Zaiheinles said:
I am solving a test, in one of these 2 tasks I made a mistake.

1.Calculate the derivative of a function y=(4et)(1+et)y= \frac{(4e^t)}{(1+e^t)} at the point t = 0.
My answer is 1 (I am more confident in this answer than in the second task)

2. Find the differential of a function f(x)=ln(x2+1)f(x) = ln(x^2+1) at the point x=1 at Δx=0,1. The answer is multiplied by 10.
My answer is 1
Click to expand...
I believe both are wrong. I'm not sure what you mean by "the answer is multiplied by 10"; is that part of the problem itself?

Please show your work to get these answers; you may discover the errors yourself!
 
Dr.Peterson said:
I believe both are wrong. I'm not sure what you mean by "the answer is multiplied by 10"; is that part of the problem itself?

Please show your work to get these answers; you may discover the errors yourself!
Click to expand...
I checked my calculations and now I'm sure about the first one. But in the second one, I need to choose 1 out of 4 options ( 0;1;2;3 ) and I don't know how to check the correctness of my answer (I choose 1 )
 

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Zaiheinles said:
I checked my calculations and now I'm sure about the first one. But in the second one, I need to choose 1 out of 4 options ( 0;1;2;3 ) and I don't know how to check the correctness of my answer (I choose 1 )
Click to expand...
I agree that 2 is wrong. Also, the image comes from here and is not your work.

-Dan
 
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