MAT 145
Derivative Gateway Quiz (Quiz #5)
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 = ln(5x 3 )
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(b)
y = (21 − 8x) 6
(c)
y = cot x − sin x
(d)
1
x
4
−2e
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y=
(e)
y = 5π x
(f)
y = 3x −10 + 2x −6 + πe 2 π
(g)
y = csc( x)
(h)
y = x 4 − 3x 3 2x + 4 x 5
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(i)
(j)
)
[simplify derivative completely]
12x 22 − 24 x 21 + 8x 20
4 x 20
[simplify derivative completely]
(
y=
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)(
y = x 2 x [use logarithmic differentiation]
dy
dx
=.