Penjelasan dengan langkah-langkah:
a.
f(x) = x⁴ - 4x²
f'(x) = 0
4x³ - 8x = 0
x³ - 2x = 0
x(x² - 2) = 0
x = 0
x = √2
x = -√2
- - - - - - -- + + + + + + - - - - - - - + + + +
.............-√2.............0...............√2............
fungsi naik pada interval
-√2 < x < 0 dan x > √2
.
b.
f(x) = x³ - 2x² - 4x + 2
f′(x) = 0
3x² - 4x - 4 = 0
(3x + 2)(x - 2) = 0
x = -2/3
x = 2
+ + + + + + - - - - - - - -+ + + + + +
..............-2/3...............2...............
-2/3 > x > 2
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Penjelasan dengan langkah-langkah:
a.
f(x) = x⁴ - 4x²
f'(x) = 0
4x³ - 8x = 0
x³ - 2x = 0
x(x² - 2) = 0
x = 0
x = √2
x = -√2
- - - - - - -- + + + + + + - - - - - - - + + + +
.............-√2.............0...............√2............
fungsi naik pada interval
-√2 < x < 0 dan x > √2
.
b.
f(x) = x³ - 2x² - 4x + 2
f′(x) = 0
3x² - 4x - 4 = 0
(3x + 2)(x - 2) = 0
x = -2/3
x = 2
+ + + + + + - - - - - - - -+ + + + + +
..............-2/3...............2...............
fungsi naik pada interval
-2/3 > x > 2