MAT 145
Derivative Gateway Quiz (Quiz #4)
Name:
Date:
Do not use notes, calculators, other people’s work, or any other aids.
1.
State the derivative of each function. Each derivative should start with y′ = or
(a)
y = 3e x
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(b)
(c)
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y = 2x 4 π
y = tan x − cos x
(d)
y = ln(3x 2 )
(e)
y = (3 − 5x) 4
(f)
y = csc( x)
(g)
y = 2x −8 − 3x −4 − πe
(h)
8x 10 − 24 x 12 + 32x 14
y=
8x 10
(i)
2xy 2 − y = 0 [use implicit differentiation]
(j)
y = x 5 − 2x 2 x + 3x 4
(
)(
)
[simplify derivative completely]
[simplify derivative completely]
dy
dx
=.