Question
Asked Sep 10, 2019
Differentiate the function
y 2x log4(Vx)
У' 3
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Differentiate the function y 2x log4(Vx) У' 3

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check_circleExpert Solution
Step 1

Firstly, we use product rule of differentiation which states that (uv)'=u'v+uv'

y2xlog,
dy
d
2x
dx
(og. ()los((2x)
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y2xlog, dy d 2x dx (og. ()los((2x)

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Step 2

Then we use the result that derivative of x^n is nx^(n-1...

d
dy
- 2(log.()log((2x)
dx
d
1
dy2x
x In 4 d)+210g.(V)
VIn 42 21og,()
-2log,()
1
dy2x
1
dy
1
dx n 4
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d dy - 2(log.()log((2x) dx d 1 dy2x x In 4 d)+210g.(V) VIn 42 21og,() -2log,() 1 dy2x 1 dy 1 dx n 4

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Tagged in

Math

Calculus

Derivative