UK 3 MAPLE

REMIDI UK 3 MAPLE
1. Y+cos(xy2)+3x2=4
Find :
dy
a.
dx
dx
b.
dy
c. Tangent line at point (1,0)
Jawab :

So ,

a.

dy
dx

=

b.

dx
dy

=

c.

2.

x 4 +1
¿
(x 3 +2 x)4
f ( x )=
¿

a. F’(x) using definition and maple
b. Tangent line at x=2
c. Sketch the graph of tangent line at x=2

Jawab :

a. using definition

>

Jadi, f ' (x) use definition is



Using maple
>

>

>

>

>

B. So, tangentline at x=2 is
C. jadi graph tangenline x=2 seperti diatas.
3. F(x) =

|x 5+ 2 x 3 + x 3+ x2 +2|

Jawab
>

So, f(x)=>
2

4.

f ( x )=

x +3 x +4
x +4

dy
dx
d2 y
b. 2
dx

a.

Jawab :

>

>

>

find :

analize is f(x) differentiable at x= -1

a. So,

dy
dx

b. So,

d2 y
d x2

=
=

5. f(x)=x and g(x)=2. Is f(g(x)) has tangent line?
Jawab :

>

>

so f(g(x)) has tangent line at 2