Question
Asked Oct 16, 2019

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22.
Determine all critical points for the function.
y x3x45x 3
The critical points are at x =
(Use a comma to separate answers as needed.)
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22. Determine all critical points for the function. y x3x45x 3 The critical points are at x = (Use a comma to separate answers as needed.)

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Step 1

Given,

f(x) x3 3x2 - 45x +3
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f(x) x3 3x2 - 45x +3

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Step 2

To find critical point we must mak...

d(f(x))
dx
d(x3+3x2-45х+3)
= 0
dx
Зx? + 6х — 45 %3D 0
3(x22x - 15)
0
x22x 15 = 0
> x2 + 5x - 3x - 15 0
x(x 5) 3(x 5) 0
(x5)(x 3) 0
Either (x 5) or (x 3)= 0
x -5
>x = 3
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d(f(x)) dx d(x3+3x2-45х+3) = 0 dx Зx? + 6х — 45 %3D 0 3(x22x - 15) 0 x22x 15 = 0 > x2 + 5x - 3x - 15 0 x(x 5) 3(x 5) 0 (x5)(x 3) 0 Either (x 5) or (x 3)= 0 x -5 >x = 3

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Tagged in

Math

Calculus

Derivative