Matematika

Pertanyaan

gunakan aturan rantai !
2)y=sin^4 (x^2 +x^3)

2 Jawaban

  • y = sin⁴(x² + x³)
    y ' = 4.sin³(x² + x³) . cos(x² + x³) . [2x + 3x²]
        = [8x + 12x²] . cos(x² + x³) . sin³(x² + x³)
  • y = sin^4 (x^2+x^3)
    y = {sin (x^2 + x^3)}^4
    y ' = 4 { sin (x^2 + x^3) }^3.cos(x^2+x^3 ).(2x + 3x^2)
    y' = (8x+12x^2)(cos(x^2+x^3){sin(x^2+x^3)}^3
    y'=(8x+12x^2){cos(x^2+x^3)}.{sin^3(x^2+x^3)}

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