They're both correct!
Only 1,635,.. what do you mean with this?
Hi,
I was wondering if someone could check my work for the following two short problems:
1. If find .
Solution:
Differentiate:
Substitute 2 for x.
Thus,
2. Find the slope of the tangent to the function: when
is equal to 3.
Solution:
Differentiate:
Thus,
Thanks in advance.
Sincerely,
Raymond
Is it not common practice to fully expand upon one's solution? Because I have been baffled with some large numbers as solutions which seem untypical to the course. Though the numbers, as far as I can tell are accurate. The questions above being one example.
Yeah, I guess that's what I was sort of curious about most with these solutions. I was 99% sure I had nailed the derivatives. I just wasn't sure what the mathematical conventions were in terms of presenting the final solution.
The first one involving Euler's constant seems very logical that you would leave it as is but I wasn't sure about the other one.
Technical point: Better to use parentheses as you did with the first problem:
By "precedence of arithmetic operators", what you wrote should be interpreted as
In addition to what others have said, not that this is approximately correct because you have rounded of while is exact. I would not got to additional work to right an answer that is only approximate when I already had the exact answer.Thus,
Thanks in advance.
Sincerely,
Raymond