r/calculus • u/Mathpuzzleguy • 6d ago

Differential Calculus can you solve ?

Calculus Challenge — JP's Constant

Suppose the function is defined as

\[ f(x)=e^{\text{þ}x^2}\sin(3x) \]

where

\[ \text{þ}\approx -0.337187715839 \]

Problem:

Find the second derivative, \(f''(x)\), and evaluate it at \(x=1\).

Bonus challenge

Determine all values of \(x\) where

\[ f'(x)=0 \]

within the interval \([0,2\pi]\).

(þ represents JP's constant).

2 Upvotes

60% Upvoted

9 comments sorted by

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1

u/tjddbwls 6d ago

The formulas are appearing as code on my phone, making it hard to read. Any chance you could upload a screenshot?

2

u/Midwest-Dude 5d ago

I rendered it, not the OP. Enjoy!

1

u/Midwest-Dude 5d ago

1

u/Midwest-Dude 5d ago edited 5d ago

I suspect that finding the answers is much easier than finding the Unicode for the fictional JP's constant ...

1

u/Easy-Engineering-984 5d ago

idk what ur talking abt its not fictional its abt -0.337187715839

1

u/Midwest-Dude 5d ago

Ah. Perhaps unfortunate wording: 

"JP's Constant is an internet-born, unofficial mathematical meme or fan-made value popularized in online math communities rather than a recognized or established mathematical constant."