exponentielles.py

Created on May 26, 2021

471 Bytes

La fonction exponentielle est dérivable et :
(exp(x))′ = exp(x)

Pour tous x et y réels :
® exp(a + b) = exp(a)x exp(b)
® exp(−a) = 1/exp(a)
® exp(a − b) = exp(a)/exp(b)
® (exp(a))^n = exp(na), n ∈ Z.

Pour tout nombre réel x, on note exp(x) =e^x

Les propriétés algébriques sont alors analogues aux règles de calculs sur les puissan
® e^a+b =e^a x e^b 
® e^a−b = e^a/e^b
® e^−a = 1/e^a
® (e^a)^n =e^na, n∈Z

® e^a =e^b ⇔a=b 
® e^a >e^b ⇔a>b.

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