Find the derivative using logarithmic differentiation method $\frac{d}{dx}\left(\sin\left(2x\right)^{4x}\right)$

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Function Plot

Plotting: $4\left(\ln\left(\sin\left(2x\right)\right)+2x\cot\left(2x\right)\right)\sin\left(2x\right)^{4x}$

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0
a
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f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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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Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

Used Formulas

See formulas (5)

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