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turunkan
= 2x - 2 / 2x - 3
= 2(0) - 2 / 2(0) - 3
= -2 / -3
= 2/3
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2sinx + cosx
= 2sin45 + cos45
= 2(1/2√2) + 1/2√2
= √2 + 1/2√2
= 3/2√2
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f(x) = 1/2x^2 +2x + 6
f'(x) = x + 2 + 0
f'(x) = x + 2
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f(x) = 5x^2 + 6x^3 - 5x
f'(x) = 10x + 18x^2 - 5
f'(2) = 10(2) + 18(2)^2 - 5
(=) 20 + 18(4) - 5
(=) 20 + 72 - 5
(=) 87
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8! / 7! + 3! / 5!
= 8 / 1 + 1 / 5.4
= 8 + 1/20
= 161/20
= 8 1/20
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7C2 = 7! / (7-2)!.2!
= 7! / 5!2!
= 7.6 / 2!
= 7.3
= 21
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f(x) = 2x - 1 / x + 2
u = 2x-1
u' = 2
v = x+2
v' = 1
u'v - uv' / v^2
(=) (2)(x+2) - (2x-1)(1) / (x+2)^2
(=) 2x + 4 - 2x + 1 / (x+2)^2
(=) 5 / (x+2)^2
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f(x) = sin(3x) - cos(2x)
f '(x) = 3 cos(3x) - (-2 sin(2x))
f '(x) = 3 cos(3x) + 2 sin(2x)