MAT 145: Test #3 (100 points)
Name ___________________________ UID: ____________________ Score __________________
Part I: Do Not Use Any Calculator or Computer Tools!
Determine the derivative, with respect to x, of each function below. Use appropriate notation for
each derivative and show all required steps.
1.
3.
g(x) =
5.
2. h(x) = ln (cos x )
f (x) = tan x − 3e x
2 − ex
1− e x
(Simplify, factor, and reduce g'(x), if possible.)
4. −4x 2 y3 + 2x = 2 − 4y + x 3
(Use implicit differentiation.)
State and correctly spell the first and last names of the two individuals who are credited with creating
calculus more than 300 years ago.
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