Question
Asked Nov 15, 2019
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The problrm is to Find the indicated derivatives.

Find the indicated derivatives
(a) (
log2 (T)
d
(b)
(æ)
2*X
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Find the indicated derivatives (a) ( log2 (T) d (b) (æ) 2*X

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Expert Answer

Step 1

(a) The given function is ,

+log, ()
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+log, ()

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Step 2

Differentiate with respect to x.

d
d
+log, (7)
-(e)
(log, ()
dx
dx
dx
()
ex (3x)
d
= e
dx
0
= 3x er
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d d +log, (7) -(e) (log, () dx dx dx () ex (3x) d = e dx 0 = 3x er

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Step 3

(b)

...
In x
Differentiatex
with respect to x.
d
In x
Inxinx
е
bIn(a)
dx
dx
nxinx
= e
(Inx In(
dx
d
Inxinx
= e
(n()+(In((Inx)
dxc
dx
nxln
= e
+In
х
3
х
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In x Differentiatex with respect to x. d In x Inxinx е bIn(a) dx dx nxinx = e (Inx In( dx d Inxinx = e (n()+(In((Inx) dxc dx nxln = e +In х 3 х

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Tagged in

Math

Calculus