Question
Asked Oct 14, 2019
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y=x(tan^-1)(2x)-(1/4)ln(1+4x^2)

find derivative of the function: full steps please 

Any sloppy work will not be accepted.
fresh sheet of paper
e.
The entire work must be yours and yours
f.
Find the derivative of the function:
1.
Infi+ 4x)
y=x tan"(2x)-
Verify th
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Any sloppy work will not be accepted. fresh sheet of paper e. The entire work must be yours and yours f. Find the derivative of the function: 1. Infi+ 4x) y=x tan"(2x)- Verify th

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Expert Answer

Step 1

The given function is

yx tan(2.x)--In(1+ 4x*)....
4
)
..0)
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yx tan(2.x)--In(1+ 4x*).... 4 ) ..0)

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Step 2

To find the value of

dy
or
dx
dx
1
xtan(2x)In(1+4x2)
4
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dy or dx dx 1 xtan(2x)In(1+4x2) 4

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Step 3

Differentiate (1) wit...

d
(y)
d
xtan (2x) In(1+4
4
dy
4(tan (2x)-1d
dx
(fx))
In
Apply, (uv)' uv'+ vu' on x tan1(2x) and
f "(x)
f(x)
dr
dy
1
(2x)tan
1
1
-(1+4x2)
1+ 4x dx
4 1+4x2 dx
dx
II
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d (y) d xtan (2x) In(1+4 4 dy 4(tan (2x)-1d dx (fx)) In Apply, (uv)' uv'+ vu' on x tan1(2x) and f "(x) f(x) dr dy 1 (2x)tan 1 1 -(1+4x2) 1+ 4x dx 4 1+4x2 dx dx II

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Tagged in

Math

Calculus

Derivative