Matematika

Pertanyaan

Tolong 1-6 pake cara
Tolong 1-6 pake cara

1 Jawaban

  • 1) f(x) = 2x^4 + 3sin x
    f'(x) = 8x^3 +3cos x
    2) f(x) = 5cos x -1/2x^2
    f'(x) = -5sin x -x
    3) f(x) = 4sin x -3cos x
    f'(x) = 4cos x + 3sin x
    4) f(x) = 6 tan x
    f'(x) = 6 sec^2 x
    5) f(x) = sin x (3-cos x)
    f'(x) = (cos x.(3-cos x)+(sin x .sin x)
    = 3cos x -cos^2 x + sin^2 x
    = 3cos x -cos^2 x +(1-cos^2 x)
    = -2cos^2 x + 3cos x + 1
    6) f(x) = sin x / x
    f'(x) = (cos x . x - cos x)/x^2
    = (x.cos x - cos x)/ x^2
    = { cos x ( x -1) } / x^2