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Find the derivative using the product rule $\frac{d}{dx}\left(\left(4\sqrt{x}+\frac{1}{x}\right)\left(2x+\frac{-6}{\sqrt[3]{x}}\right)\right)$

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Function Plot

Plotting: $\frac{2\sqrt{x^{3}}-1}{x^2}\left(2x+\frac{-6}{\sqrt[3]{x}}\right)+\left(4\sqrt{x}+\frac{1}{x}\right)\left(2+\frac{2}{\sqrt[3]{x^{4}}}\right)$

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x
y
z
.
(◻)
+
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◻/◻
/
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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

How to improve your answer:

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 (6)

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