2020-수학-가형-홀수-21¶
문제¶
풀이¶
from sympy import *
g, k, t, x = symbols('g k t x')
t = Symbol('t', real=True)
expr = exp(t)*(x-t)+exp(t)-log(x)
solve(expr.diff(x),x)
[exp(-t)]
simplify(expr.subs(x,exp(-t)))
\[\displaystyle - t e^{t} + t + e^{t} + 1\]
g= -(-t*exp(t)+exp(t)+t+1)
가¶
plot(g, (t, -5, 2))
<sympy.plotting.plot.Plot at 0x331adb45550>
나¶
beta = nsolve(g,t,2)
beta
\[\displaystyle 1.54340463841821\]
nsolve(g,t,-2)
\[\displaystyle -1.54340463841821\]
다¶
(1+g.diff(t).subs(t,beta))/(1+g.diff(t).subs(t,-beta))<-(E**2)
\[\displaystyle \text{True}\]