Matematika

Pertanyaan

jika h(x)=x²cotx, maka h'45° sama dengan..?

mohon bantuannya.. :)

1 Jawaban

  • Turunan trigonometri
    h'(45) --> h'(π/4)

    h(x)= x² cot x
    h '(x)= 2x (cot x) + x² (- cosec x)
    h' (π/4) = 2(π/4) . cos π/4   -  (π/4)²  (cosec π/4)
    h' (π/4) = π/2. (1/2 √2) - π²/16 . (√2)
    h ' (π/4) = 1/4 π √2 - 1/16 π² √2
    h'(π/4)=  π√2 ( 1/4 - 1/16 π)
    h '(π/4) = π√2 (3/16  π)

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