Matematika

Pertanyaan

the first derivative of y= 1+cos x per -sin x is dy per dx =

2 Jawaban

  • Cosec^2x jawabannya klo bener...
  • U'=-sinx
    V'=-cosx
    U=1+cosx
    V=-sinx
    y'=(U'xV) - (U×V') per (V) ^2= (- sinx)(-sinx) - (1+cosx)(-cosx) per (-sinx)^2= sin^2 x-(-cosx-cos^2 x) per sin^2 x= sin^2 x+cosx+cos^2 x per sin^2 x= (sin^2 x+cos^2 x)+cosx per sin^2 x=1+cosx per sin^2 x

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