Matematika

Pertanyaan

Tentukan persamaan garis singgung y=√x dititik (4,2)

2 Jawaban

  • 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
  • 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
       

     

Pertanyaan Lainnya