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Jika f(x) = (cos x + sin x)/sin x, Maka Nilai f’(π/2) Adalah

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Jika f(x) = (cos x + sin x)/sin x, maka nilai f’(π/2) adalah ….

A. 2

B. 1

C. 0

D. -1

E. -2

 

PEMBAHASAN

f(x) = (cos x + sin x)/sin x

f(x) = (cos x/sin x) + (sin x/sin x)

f(x) = cotan x + 1


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f’(x) = -cosec2 x

f’(π/2) = -cosec2 π/2

f’(π/2) = -1 (D)

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