Question
Asked Sep 7, 2019
Find the derivative of y with respect to x.
58)y tan (In 2x)
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Find the derivative of y with respect to x. 58)y tan (In 2x)

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Expert Answer

Step 1

Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

y tan(n 2x
dy
d
1
(tan (In 2x)) 1+ (In 2.x) d
(In 2x)
dx d
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y tan(n 2x dy d 1 (tan (In 2x)) 1+ (In 2.x) d (In 2x) dx d

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Step 2

Then we use the result that derivative of lnx is 1/x

dy
d
(In 2x)
1
1
(2.x)
2x) dr
1+(h 2x)
(1+(h2x)
dx
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dy d (In 2x) 1 1 (2.x) 2x) dr 1+(h 2x) (1+(h2x) dx

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Step 3

Then we use the result that d...

dy
1
(2x)
d 2x(1+(In 2x)d*
dy
2
2x(1+ (In 2x)
d
dy
1
dx(1+(In 2.x)
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dy 1 (2x) d 2x(1+(In 2x)d* dy 2 2x(1+ (In 2x) d dy 1 dx(1+(In 2.x)

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Calculus

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