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Find the derivative of $4\sin\left(x\right)\cos\left(2x\right)$

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Solution

Formulas

Videos

Derivatives of sec(x) and csc(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=TDJ5nXWEkWM

Derivative using chain rule inside product rule

https://www.youtube.com/watch?v=7s1PU4M38vw

Learn how to take the derivative by charts with product rule

https://www.youtube.com/watch?v=3M393oP0qpE

Taking the derivative of two binomials using product and chain rule

https://www.youtube.com/watch?v=A6hOwH2dbr0

Use the product rule to take the derivative of an exponential equation

https://www.youtube.com/watch?v=otqQ3gpE6fQ

Implicit differentiation with the chain rule and in

https://www.youtube.com/watch?v=TNy-IxD15f0

Function Plot

Plotting: $4\cos\left(x\right)\cos\left(2x\right)-8\sin\left(x\right)\sin\left(2x\right)$

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0
a
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c
d
f
g
m
n
u
v
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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

How to improve your answer:

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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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