Question

Tolong bantuannya! dijawab pake caranya!!!
1. turunan pertama dr h(x)=sin²(6x-Π/2) berapa? (Π itu phi)
a. 6sin(12-Π)
b. -6sin(12-Π)
c. 6sin(12-Π/2)
d. - 6sin(12-Π/2)
e. 6cos(12-Π)

2. persamaan garis singgung kurva y=x²-3x-4 yg sejajar garis y-x+2=0 berapa?
a. x+y-5=0
b. x+y+5=0
c. x+y-7=0
d. x-y+7=0
e. x-y-8=0

3. x1,x2,x3 adalah akar peramaan 6x³-24x²-66x+180=0, hasil jml dan hasil kali ketiga akarnya p dan q, nilai p+q berapa?
a. 26
b. 27
c. 15
d. -15
e. -26

Answer 1

1. e.

2.*y-x+2
y=x-2
m=1
*y'=2x-3
1=2x-3
4=2x
2=x
*y=(4)-3(2)-4
=4-6-4
=-6
*y-y1=m(x-x1)
y+6=1(x-2)
x-y-8=0(e)

Answer 2

1. C

p= 6x-phi/2

Sin^2(a)
= sin(a).sin(a)
= 2.a'sin(a).cos(a)

=2.6sin(6x-phi/2).cos(6x-phi/2)

2. E

Sejajar m1=m2
m2=1

m = y'
1 = 2x-3
x = 2

Substitusi x pd pers kurva
Y=(2)^2-3(2)-4
= -6

Pk rumus
Y-y1=m(x-x1)
Y + 6 = 1(x - 2)
X-y-8 = 0

3. E

Ax^3 + bx^2 + cx + d =0

X^3 -4x^2 -11x +30 = 0

X1+x2+x3=p= -b/a
P=4

q = X1.x2.x3= -d/a
q = -30

4-30 = -26

Maaf kl berantakan .-.