Moleporocky247
Moleporocky247 Moleporocky247
  • 02-06-2016
  • Mathematics
contestada

given (x)=-x²+2x,determine
F'(x) using first principle

Respuesta :

caylus
caylus caylus
  • 02-06-2016
Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

[tex] \lim_{h \to 0} \frac{f(x+h)-f(x) } {h}[/tex]


f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

[tex] \lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2[/tex]

Answer Link

Otras preguntas

Which of the following describes the zeroes of the graph of f(x) = 3x6 + 30x5 + 75x4?
Where have the highest number of HIV infections been reported? Latin America Europe Sub-Saharan Africa Europe
If 1/4 of a giant chocolate bar is split equally between 3 sisters, how much of a chocolate bar will each sister receive?
Why do you think this short speech has become so admired and famous? (" I will fight no more forever'') Chief Joseph FREE TEN POINTS TO ANYONE
In a democratic system of government leaders are chosen by
Delegates met in philadelphia in 1787 to revise the articles of confederation. what did this meeting become?
What is persecution?
will the standard form 3.2 x 10 -4 be more or less than 1 Explain what effect the negative exponent has
Who does Odysseus tell Athena he is?
What promises that I don’t Hitler make to the German people Aiden his rise to power as the leader of the third rage