F(x)=4.5x2–3x+2
use the limit definition to find f ′(x).
use th...
Mathematics, 28.11.2019 12:31, 197224
F(x)=4.5x2–3x+2
use the limit definition to find f ′(x).
use the alternate limit definition, limit as x approaches a of the quantity f of x minus f of a over the quantity x minus a with a = 2, to find the value of f ′(2).
use the shortcut rules to find f ′(x).
find where the tangent line to f(x) is horizontal.
write the equation of the tangent line at x = 2.
what i've done so far:
alternate limit definition says that f'(x) = lim x-> a [f(x) - f(a)]/(x-a)
putting f(x) in above definition
we get
lim x-> 2 [ 4.5x2-3x+2 - 4.5*22+3*2-2]/(x-2)
lim x-> 2 [4.5x2-3x-12]/(x-2)
lim x-> 2 4.5*[x+12/9]*[x-2] /(x-2) as -12/9 and 2 are roots of x2-(3/4.5)x - 12/4.5
4.5*10/3 =15
let me know if my work is correct, see attached for easier viewing.
Answers: 3
Mathematics, 21.06.2019 23:00, ptrlvn01
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Answers: 3
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