I ran:
derivative(acosh(x), x)
and the result was:
1/(sqrt(x + 1)*sqrt(x - 1))
I personally would prefer 1/sqrt(x^2-1) as it's an expanded form and I'm wondering how I can get SageMath to show this. I've tried adding .expand() afterwards and that made no difference to the result.
Hi
I propose this code despite little heavy ! I think it must exist simpler
x=var('x')
d=derivative(acosh(x), x)
show(d.numerator()/sqrt((d.denominator()^2).expand()))
An alternative:
sage: (derivative(acosh(x), x)^2).simplify_full().sqrt()
1/sqrt(x^2 - 1)
but I'm not sanguine about the whole thing ...
Asked: 2019-08-14 18:15:47 +0100
Seen: 292 times
Last updated: Aug 14 '19
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