English Deutsch Français Italiano Español Português 繁體中文 Bahasa Indonesia Tiếng Việt ภาษาไทย
All categories

if c is the value defined by the mean value theorem then for f (x) = e^x - x^2 on [0,1], c =
a. -.248
b. 0.351
c. .5
d. .693
e. .718

2007-04-14 18:20:39 · 1 answers · asked by Anonymous in Science & Mathematics Mathematics

1 answers

f ' (c)=(f(b)-(f(a))/(b-a)
f(b)=f(1)=e-1
f(a)=f(0)=1-0=1

b-a=1-0=1

f ' (c)=[(e-1)-1]/1
=e-2

e^c -2c=e-2

c=?

2007-04-14 18:30:42 · answer #1 · answered by iyiogrenci 6 · 0 0

fedest.com, questions and answers