Question

Jika f(x) = x^4+2 / x^2-2, maka f'(1) adalah....

Answer 1

Verified answer

F(x) = u / v
f'(x) = (u'v - uv')/v²

u = x⁴ + 2
u' = 4x³
v = x² - 2
v' = 2x

f'(x) = ((4x³)(x² - 2) - (2x(x⁴ + 2)) / (x² - 2)²
f'(1) = (4(-2) - 6)/(-2)²
f'(1) = -14/4
f'(1) = -7/2

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