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unl(x)x6-2b. f(x) = 27x+x+ m_o% = ()S2. Find f'(x) for the following functions using the shortcuts we have learned thus far.

Question

please answer all parts of question 2 

unl
(x)
x6-2
b. f(x) = 27x+
x+ m_o% = ()S
2. Find f'(x) for the following functions using the shortcuts we have learned thus far.
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unl (x) x6-2 b. f(x) = 27x+ x+ m_o% = ()S 2. Find f'(x) for the following functions using the shortcuts we have learned thus far.

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Step 1

Question No. 2

Part a

Given,

f(x)e-2x x
So, f'(x) df(x)
dax
(x*x-
a2xdx)
dx
dx
da
1
dx
2
=e-2x (-2) 1
-e-2x 1
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f(x)e-2x x So, f'(x) df(x) dax (x*x- a2xdx) dx dx da 1 dx 2 =e-2x (-2) 1 -e-2x 1

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Step 2

Part b

Given,

5
f (x) — 2пх +
х
So, f'(x) df(x)
dx
al(знж )
2пх+-
dx
d(x)
2п
5
dx
(7-*)р
dx
— 2л х1+ 5(-1)(х-1-1)
— 2п — 5х-2
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5 f (x) — 2пх + х So, f'(x) df(x) dx al(знж ) 2пх+- dx d(x) 2п 5 dx (7-*)р dx — 2л х1+ 5(-1)(х-1-1) — 2п — 5х-2

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Step 3

Part c

Given...

x2-9x
f(x)
х
9x
х
= x-9
So, f'(x)dfæ)
dx
d(x-9)
dx
d(x)
d(9)
dx
da
= 1 - 0
= 1
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x2-9x f(x) х 9x х = x-9 So, f'(x)dfæ) dx d(x-9) dx d(x) d(9) dx da = 1 - 0 = 1

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Tagged in

Math

Calculus

Derivative

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