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Differentiate the following:
Limits, Horizontal Asymptotes etc
Vertical Asymptotes
Trig! Find the derivative of:
100
Differentiate 2x
5
+ 3x
3
+ 45x + 2
10x
4
+ 9x
2
+ 45
100
Find lim x->oo (e
1/x
)
1
100
What is the vertical asymptote(s) of y = (x + 3) / (x + 4)
x = -4
100
y = 5cos(x
3
)
-5sin(x
3
)(3x
2
)
200
e
4x
4e
4x
200
Find lim x->oo (5x
2
+ 8x - 3) / 3x
2
+ 2
5/3
200
Find the V.A of f(x) = e
1/x
+ 6x
2
NONE!!!
200
y = 5e
3x
+ sinxcosx
15e
3x
+ (cosx)
2
- (sinx)
2
300
y = (5e
4x
+ 2x)(x
4
)(2x)
(20e
4x
+ 2)(x
4
)(2x) + (5e
4x
+ 2x)(4x
3
)(2x) + (5e
4x
+ 2x)(x
4
)(2)
300
Find the horizontal asymptote of y= (x
3
- 2) / (|x
3
| + 1)
y = 1 and y = -1
300
Find the V.A of y = -1 / (x
3
+ x
2
)
x = 0 and x = -1
300
y = csc(ln2x)
-csc(ln2x)cot(ln2x)(2/2x)
400
y = ln(x
2
) / (2x + 1)
2x(2x+1) - 2x
2
ln(x
2
) / ( x
2
)(2x + 1)
2
400
Find lim x->0
-
(e
1/x
)
0
400
Find lim x->0
+
(x
2
/2 - 1/x)
0
400
y = sec
2
(4x+2) + (tanx)x
2
8[sec(4x + 2)]
2
tan(4x+2) + sec
2
x(x
2
) + 2x(tanx)
500
y = ln(sec
2
x) + sin(e
3x + 1
) / x
2
+ cosx
2tanx + [cos(e
3x + 1
)(3e
3x + 1
)(x
2
+ cosx) - sin(e
3x + 1
)(2x - sinx)] / (x
2
+ cosx)
2
500
Find the horizontal asymptote(s) of f(x) = (x
2
+ 1)
1/2
/ (x+1)
y = 1
500
lim x->2 (x
2
- 3x + 2)/ (x
3
- 2x
2
)
1/4
500
y = ln(5cot3x)/(4x+2sinx)
2
something.... let's write it out