Pertanyaan

Turunan pertama dari y = cos x sin x + cos x adalah...

Turunan pertama dari $y = \frac{sin x + cos x}{cos x}$ adalah...

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

S. Nur

Master Teacher

Jawaban terverifikasi

Pembahasan

Maka Maka turunan pertama dari adalah . Maka, jawaban yang tepat adalah D.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row y equals cell fraction numerator sin invisible function application x plus cos invisible function application x over denominator cos invisible function application x end fraction equals u over v end cell row u equals cell sin invisible function application x plus cos invisible function application x end cell row cell u to the power of apostrophe end cell equals cell cos invisible function application x minus sin invisible function application x end cell row v equals cell cos invisible function application x end cell row cell v to the power of apostrophe end cell equals cell negative sin invisible function application x end cell end table end style$

Maka

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y to the power of apostrophe end cell equals cell fraction numerator u to the power of apostrophe v minus u v to the power of apostrophe over denominator v squared end fraction end cell row blank equals cell fraction numerator open parentheses cos invisible function application x minus sin invisible function application x close parentheses open parentheses cos invisible function application x close parentheses minus open parentheses sin invisible function application x plus cos invisible function application x close parentheses open parentheses negative sin invisible function application x close parentheses over denominator open parentheses cos invisible function application x close parentheses squared end fraction end cell row blank equals cell fraction numerator cos squared invisible function application x minus sin invisible function application x cos invisible function application x plus sin squared invisible function application x plus sin invisible function application x cos invisible function application x over denominator open parentheses cos invisible function application x close parentheses squared end fraction end cell row blank equals cell fraction numerator 1 over denominator cos squared invisible function application x end fraction end cell row blank equals cell sec squared invisible function application x end cell end table end style$

Maka turunan pertama dari $begin mathsize 14px style y equals fraction numerator sin invisible function application x plus cos invisible function application x over denominator cos invisible function application x end fraction end style$ adalah .

Maka, jawaban yang tepat adalah D.