Tolong jawan no 25 yaa​

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Tolong jawan no 25 yaa​

Tolong jawan no 25 yaa​

24)
y = x² – x + 3

y' = 2x – 1

m = 1

y' = m
2x – 1 = 1
2x = 1 + 1
2x = 2
x = 1

y = x² – x + 3
y = 1² – 1 + 3
y = 1 – 1 + 3
y = 3

titik singgung (1, 3)

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25)
y = 5 + 3x – 2x²

y' = 3 – 4x

m = -3

y' = m
3 – 4x = -3
-4x = -3 – 3
-4x = -6
x = 3/2

y = 5 + 3x – 2x²
y = 5 + 3(3/2) – 2(3/2)²
y = 5 + 9/2 – 2(9/4)
y = 5 + 9/2 – 9/2
y = 5

titik singgung (3/2 , 5)

y = 5 + 3x – 2x²

m = -3

y' = -3

3 – 4x = -3

-4x = -6

x = 3/2

y = 5 + 3(3/2) – 2(3/2)² = 5

Jadi, koordinat titik singgungnya adalah (3/2, 5)