tentukan y' dari: 1. y= 1/x^-4 2. y= 5√x + 4 3. y= 3/√x 4. y= (4x + 2) . ^3√x
Matematika
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Pertanyaan
tentukan y' dari: 1. y= 1/x^-4 2. y= 5√x + 4 3. y= 3/√x 4. y= (4x + 2) . ^3√x
1 Jawaban
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1. Jawaban DB45
turunan
1) y = 1/(x⁻⁴)
y = x⁴
y' = 4 x³
2) y = 5√x + 4
y = 5 x¹/² + 4
y' = ⁵/₂ x⁻¹/²
y' = 5/(2√x)
y' = 5√x / (2x)
3) y = 3/√x
y = 3. x⁻¹/²
y' = - 3/2 x⁻³/²
y' = -3/(2x√x)
4) y = (4x+2).∛x
y = (4x + 2)(x)¹/³
y = 4x⁴/³ + 2x¹/³
y' = 16/3 x¹/³ + 2/3 x⁻²/³
y' = 16/3 ∛x + 2 /(3∛x²)
y' = 16/3 ∛x + (2∛x) /(3x)
y' = (16/3 + 2/3x) ∛x
y' = 1/3 (16 + 2x) ∛x