Question
Asked Nov 11, 2019
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Hnd the Derivatives
fCX)= (X2+1 )3(12
F(X)=1X X3
2x+ 8
f(x) = (X3 +3x2)3
+3 xt
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Hnd the Derivatives fCX)= (X2+1 )3(12 F(X)=1X X3 2x+ 8 f(x) = (X3 +3x2)3 +3 xt

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Expert Answer

Step 1

It is needed to find the derivatives of the given function.

The first function whose derivative is to find is:

31
Г(к) - (x*+1)
х
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31 Г(к) - (x*+1) х

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Step 2

Use product rule to find the derivative:

df (x)
d
d
x
dx
1
(a +1)
dxx
dx
х
d
using chain rule and
dx
(x*)
nrn-
df (x)
d1
d
1
-1 (3)(x +1)( 1)
(x 1)'2
1
dxx
_
dx
dx
х
х
)
df(x
3 1
1
+3
х
1
(x2+1) (2x)
= 2( x^ +1
dx
х
х
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df (x) d d x dx 1 (a +1) dxx dx х d using chain rule and dx (x*) nrn- df (x) d1 d 1 -1 (3)(x +1)( 1) (x 1)'2 1 dxx _ dx dx х х ) df(x 3 1 1 +3 х 1 (x2+1) (2x) = 2( x^ +1 dx х х

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Step 3

The second function whose der...

х+
f(x)
2х + 8
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х+ f(x) 2х + 8

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Tagged in

Math

Calculus

Derivative