Penjelasan dengan langkah-langkah:

no. 3

f(x) = (3x² + 1)(x³ + 2x - 5)

u = 3x² + 1

u' = 6x

v = x³ + 2x - 5

v' = 3x² + 2

f'(x) = u'v + v'u

f'(x) = 6x(x³ + 2x - 5) + (3x² + 2)(3x² + 1)

f'(x) = (6x⁴+12x² - 30x) + (9x⁴+3x²+6x² + 2)

f'(x) = 15x⁴ + 21x² - 30x + 2

jawabannya (A)

no.4

y = x✓(2x² + 3)

y = ✓[x² (2x² + 3)]

y = ✓(2x⁴ + 3x²)

y = (2x⁴ + 3x²)^(1/2)

y' = 1/2(8x³ + 6x)(2x⁴ + 3x²)^(-1/2)

y' = (4x³ + 3x)(2x⁴ + 3x²)^(-1/2)

y' = (4x³ + 3x)/(2x⁴ + 3x²)^(1/2)

y' = (4x³ + 3x)/x(2x² + 3)^(1/2)

y' = x(4x² + 3)/x(2x² + 3)^(1/2)

y' = (4x² + 3)(2x² + 3)^(-1/2)

jawabannya (B)

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