Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\ln\left(\sqrt{\frac{4x+1}{x^2}}\right)^{\tan\left(2x\right)}\right)$
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Function Plot
Plotting: $\left(\sec\left(2x\right)^2\ln\left(\left(\frac{1}{2}\ln\left(4x+1\right)-\ln\left(x\right)\right)^2\right)+\left(\frac{2}{4x+1}+\frac{-1}{x}\right)\frac{\tan\left(2x\right)}{\frac{1}{2}\ln\left(4x+1\right)-\ln\left(x\right)}\right)\left(\frac{1}{2}\ln\left(4x+1\right)-\ln\left(x\right)\right)^{\tan\left(2x\right)}$
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9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√
◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc
asin
acos
atan
acot
asec
acsc
sinh
cosh
tanh
coth
sech
csch
asinh
acosh
atanh
acoth
asech
acsch
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