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I.
Find the derivative of the following functions:
(6 points)
a) y=7x* – 6x + 5x? + 2x ? 1
b) f(x)= (1+2?)!?
c) f(w) = wVw+w2
= WV
d) y= x^ -1
e) y=(7 ? 3x)(4x’ + 23)
3??
f) y=
(x4 +1)
8
II.
=
Find an equation of the tangent line to the curve of f(x) = -2.x? + 6x +1 when x = 2 ?
(1.5 points)
III. If p =-0.19 + 500 is a demand equation, find the marginal ? revenue function?
?
(1 point)
dy)
IV. If y= 3t? ? 4t and t = x? +1, find
?
(1.5 points)
dxx=2

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