A Practice Common Sense Problem

Calculus Level pending

Let ${f}({n})$ be the eigenvalue of the operator and function $\frac {{d}^{n}}{{d}{x}^{n}}$ and ${e}^{{n}{x}}$ . Evaluate ${f}'({e})/2$ . Yes, f is continous. And no, this is not the rage letter(you know who you are). The rage problem is below this one just in case. Round to the nearest thousandth.

The answer is 15.154.

1 solution

Aaryan Vaishya
Jan 17, 2020

The nth derivative of the of the function e^nx will multiply e^nx by n^n. Thus, f(x)= x^x,f'(x) = x^x(ln x), and the answer is e^e = 15.154

The derivative of x^x is x^x(1+lnx). Your solution is missing a factor of 2.

Tristan Goodman - 1 year, 4 months ago

oh thank you

aaryan vaishya - 1 year, 4 months ago

i was just going off my memory about the derivative

aaryan vaishya - 1 year, 4 months ago

A Practice Common Sense Problem

The answer is 15.154.

1 solution

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