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h(x) = U/V —-> h'(x) = U’.V – U.V’
____________
V^2

jawab : C

h(x) = sinx tanx

h(x) = U.V ==> h'(x) = U’.V + U.V’

= (cosx) (tanx) + (sinx) (sec^2x)

= (cosx) (sinx/cosx) + sinx sec^2x

= sinx + sin x sec^x

= sinx (1 + sec^2x)

= sinx (1 + (1+tan^2x))

= sinx (2 + tan^2x) –> (C)