Question
Asked Sep 22, 2019

let

f(x)=√(2+2x)

 f′(4)= ?

check_circleExpert Solution
Step 1

The function is

f(x)= 2+2x
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f(x)= 2+2x

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Step 2

Differentiate with respect to x.

d
f(x) 2+2x
dx
d
(2 2x use chain rule
1
2 2 2x d
1
(2)
2 2+2x
1
2+2x
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d f(x) 2+2x dx d (2 2x use chain rule 1 2 2 2x d 1 (2) 2 2+2x 1 2+2x

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Step 3

Substitute x as 4 and obtain f&rsquo...

1
f(4)
2+2(4)
1
V2+ 8
1
V10
/10
10
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1 f(4) 2+2(4) 1 V2+ 8 1 V10 /10 10

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Tagged in

Math

Calculus

Derivative