Tentukan persamaan garis singgung y=√x dititik (4,2)
Matematika
HaniyanNk
Pertanyaan
Tentukan persamaan garis singgung y=√x dititik (4,2)
2 Jawaban
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1. Jawaban PatrickNangoy
y=√x dititik (4,2)
y' = m = fungsi turunan =
[tex] \frac{1}{2 \sqrt{x} } = \frac{1}{2 \times ( {x}^{ \frac{1}{2} } ) } =\frac{1}{2 \times ( {4}^{ \frac{1}{2} } ) } = \frac{1}{4} [/tex]
pgs =
y - b = m(x-a)
y - 2 = ¼(x-4)
4y = x + 4
y = ¼x + 1 -
2. Jawaban hendrisyafa
m = y'
= 1/2 x⁻¹/²
= 1/ 2√x
= 1/ 2√4
= 1/4
y - b = m (x-a)
y - 2 = 1/4 (x-4)
4y - 8 = x-4
x-4y+4 = 0