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Diketahui f( x) = sin( sin( sin 2 x)) . Jika f '( π) = k maka k = ....

Diketahui f(x) = sin(sin(sin2x)). Jika f'(π) = k maka k = ....

  1. -2

  2. -1

  3. 2

  4. 1

  5. 0

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Jawaban

k = 1

k = 1

Pembahasan

Diketahui f( x) = sin( sin( sin 2 x)) Maka Sehingga k = 1

Diketahui

f( x) = sin( sin( sin 2 x))

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f to the power of apostrophe open parentheses x close parentheses end cell equals cell cos invisible function application open parentheses sin invisible function application open parentheses sin invisible function application 2 x close parentheses close parentheses times cos invisible function application open parentheses sin invisible function application 2 x close parentheses times cos invisible function application 2 x times 2 end cell row cell f to the power of apostrophe open parentheses pi close parentheses end cell equals cell cos invisible function application open parentheses sin invisible function application open parentheses sin invisible function application 2 pi close parentheses close parentheses times cos invisible function application open parentheses sin invisible function application 2 pi close parentheses times cos invisible function application 2 pi times 2 end cell row cell f to the power of apostrophe open parentheses pi close parentheses end cell equals cell cos invisible function application open parentheses sin invisible function application open parentheses 0 close parentheses close parentheses times cos invisible function application open parentheses 0 close parentheses times 1 times 2 end cell row cell f to the power of apostrophe open parentheses pi close parentheses end cell equals cell cos invisible function application open parentheses 0 close parentheses times 1 times 1 times 2 end cell row cell f to the power of apostrophe open parentheses pi close parentheses end cell equals cell 1 times 1 times 1 times 2 end cell row cell f to the power of apostrophe open parentheses pi close parentheses end cell equals 2 end table end style         

Sehingga k = 1

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