MATH 160 Middle Tennessee State University Equation of The Tangent Line HW Solve the questions step by step. There is no more requirements for the homework

MATH 160 Middle Tennessee State University Equation of The Tangent Line HW Solve the questions step by step. There is no more requirements for the homework. Name
Math 160
Summer 2020
Homework Set 3
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1. Find
y
0
and y if y = 4ex
00
1
3
x
.
(4 pts.)
2. Find an equation of the tangent line to the curve y = x2 + 6
3. If f (2) = 7;
f
0
p
x
at the point (1; 7). (3 pts.)
(2) = 3; g (2) = 5, and g (2) = 4, nd y (2) if y (x) =
0
0
1
( )
.
g (x)
f x
(3 pts.)
4. Find
f
0
(x).
(a) f (x) = (4×2 + 2x)6 (x3
(b) f (x) = ln(sin x)
5. Find
y
0
if x3
2 2
x y
1)4
(3 pts.)
(3 pts.)
+ y 3 = 5.
(4 pts.)
2

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