Question

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請問為什麼f（x）微分不是 e'x+Xe'x-1 而是 e'x+Xe'x 呢

the line
for two lines that are
3x² + 3x - 3 and p
e curve y = 1 + 2e
e 3x - y = 5? Illus
es.
2x+y=1.
normal line to the c
e to the parabola y
e parabola a secon
ere are two tanger
rough the point (0.
where these tang
ough the point (2,
x² + x.
the point (2, 7) tha
diagram to see w
that if f(x)
er R
Ex3
(1) If f(x)=xe* find f(x) and f(x)
f'(x) = e^ + xe^ = (1+x). e*
=> f"(x) = e² + [e^ + xe*]
{"(x) =
#
Hence, f^(x) = (n+x) ex

Answer 1

呵

f'(x)=x'e^x + x(e^x)'
=e^x +x e^x