(a) f(x) = √x sin⁡x (b) f(x) = csc x + e^x cot x

Posted by andi telaumbanua on Feb 11, 2018 in Matematika |
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Turunkanlah setiap fungsi berikut !

(a) f(x) = √x sin⁡x

(b) f(x) = csc x + e^x cot x

\Jawab :

(a) f(x)^’ = (1/(2√x))(sin⁡x) +  (√x )( cos⁡x)= sin⁡x/(2√x) + √x cos⁡x f(x)^’ = (- csc x cot x) + [(e^x)(cot⁡x)+(e^x )(- csc^2x)]

(b) f(x)^’ = – csc x cot x + e^x cot x – e^x csc^2 x f(x)^’ = e^x (cot⁡x- csc^2x) – csc x cot x

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Turunkanlah setiap fungsi berikut ! f(x) = √x sin⁡x f(x) = csc x + e^x cot x

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