MAT270 Written Homework 5
Due: October 2, 2023
1.
Di
↵
erentiate the following function using the chain rule.
State which function is
the "inner function"
(
g
(
x
))
and which function is the "outer function"
(
f
(
x
))
.
h
(
x
) = cos (
1
x
2
+
e
x
)
2.
Find the tangent line of
xy
3
+
xy
= 14
at
(7
,
1)
using implicit di
↵
erentiation.
Ex-
plain in a complete sentence what
y
0
(7)
represents both in regards to the above function
and in regards to the tangent line.
1