Matematika Sekolah Menengah Atas tentukan turunan dari fungsi berikut![tex]f(x) = \frac{2}{ {x}^{3} } [/tex][tex]f(x) = \frac{2}{ {x}^{ \frac{1}{4} } } [/tex]​

howellfisherulv – May 11, 2023

tentukan turunan dari fungsi berikut!
[tex]f(x) = \frac{2}{ {x}^{3} } [/tex]
[tex]f(x) = \frac{2}{ {x}^{ \frac{1}{4} } } [/tex]
​

f(x) = 2/(x³) -> f(x) = 2x⁻³ -> f'(x) = 2(-3)x⁻³⁻¹ = -6x⁻⁴ =  [tex]\displaystyle-\frac{6}{x^4}[/tex]
f(x) = 2/(x^(¼)) -> 2x^(-¼) -> f'(x) = 2(-¼)x^(-¼-1) = -½x^(-¼-⁴/₄) = -½x^(-⁵/₄) = [tex]\displaystyle-\frac{1}{2x^{\frac{5}{4}}}[/tex]

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