Question

Tentukan turunan fungsi berikut
y=sin^2 x + cox^2 x

Answer 1

Y = sin^2 x + cox^2 x

misalkan...
sin^2 x = u
cox^2 x = v

maka turunan msing masingnya adalah
u' = 2 × sin x × cos x

v' = 2 × cos x × -sin x
v' = -1 × 2 × sin x × cos x
v' = -2 × sin x × cos x

y = u + v
y' = u' + v'
y' = (2 × sin x × cos x ) + (-2 × sin x × cos x)
y' = 0