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# Find the derivative using the product rule $\frac{d}{dx}\left(4\sin\left(x\right)\cos\left(x\right)\right)$

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## Basic Derivatives

$\frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right)$
· Product rule for derivatives
$\frac{d}{dx}\left(ab\right)=b\frac{d}{dx}\left(a\right)+a\frac{d}{dx}\left(b\right)$

## Derivatives of trigonometric functions

· Derivative of the sine function
$\frac{d}{dx}\left(\sin\left(x\right)\right)=\cos\left(x\right)$
· Derivative of the cosine function
$\frac{d}{dx}\left(\cos\left(x\right)\right)=-\sin\left(x\right)$
SnapXam A2

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0
a
b
c
d
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

$\frac{d}{dx}\left(4\sin\left(x\right)\cdot \cos\left(x\right)\right)$

### Main topic:

Product Rule of differentiation

~ 0.05 s