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

Luis starts at one corner of a square field and walks 80 feet along one side to another corner of the field. He turns 90* and walks 60 feet, and then walks stra
Pre-calc help please? I plotted these functions but they were all even.. Thanks.
An adolescent has begun using benzoyl peroxide lotion twice daily to treat acne. the patient reports experiencing drying and burning of the skin. what will the
y=x-3 when y=4 please help...
You own a small Roman farm in the 100s b.c. Write a letter to a friend describing the changes you have witnessed in agriculture and the Roman government. Descri
homeostasis is specific to an organism’s _________ environment.
what role does cellular respiration play in the water cycle
how was the holy Roman Emperor's power limted
how to do 3/4 ÷ 1/3
A machine can make doing work easier by reducing the force exerted, changing the distance over which the force is exerted, or changing the direction of the forc