Question

Tolong yang no 4 ya kk'
makasih

Answer 1

Verified answer

4)
Turunan

a)  y = 4 ln 9x
u = 9x
du/dx = 9

y = 4 ln u
dy/du = 4/u

y' =dy/du. du/dx
y' = 4/u. 9
y' = 4/(9x) . 9 = 4/x

b)  y = (eˣ - e⁻ˣ) / 2
y = 1/2 eˣ  - 1/2 e⁻ˣ
y' = 1/2 eˣ - 1/2 (- e⁻ˣ)
y' = 1/2 eˣ + 1/2 e⁻ˣ
y' = 1/2 (eˣ + e⁻ˣ)

c) y = (1 - √x) /(x)
y = (1 - x¹/² )(x⁻¹)
y = x⁻¹  - x⁻¹/²
y' = - 1 x⁻²  - (-1/2) x⁻³/²
y' = -x⁻² + 1/2 x⁻³/²
y' = -1/x² + 1/(2 x√x)
y' = - 1/x²  + (√x) /(2x²)
y' = (-2 + √x)/(2x²)
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