Question

Mohon bantuannya
cepet ya

Answer 1

F(x) = sin(5x) + 1/sec(3x)

Karena 1/sec(x) = cos(x)

Maka:
f(x) = sin(5x) + cos(3x)

Turunan:
g(x) = sin(ax), maka g'(x) = a.cos(ax)
h(x) = cos(bx), maka h'(x) = -b.sin(bx)

Sehingga:
f'(x) = 5.cos(5x) + (-3.sin(3x))
f'(x) = 5cos(5x) - 3sin(3x) [A]

Nomor 4.
Tips:
f(x) = (ax+b)/(cx+d)
Maka,
Inv f(x) = (-dx+b)/(cx-a)

Sehingga:
f(x) = (3x+2)/(2x-1)
Maka, inversnya adalah:
= (-(-1)x + 2)/(2x - 3)
= (x+2)/(2x-3) [D]