# Step-by-step Solution

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

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asin
acos
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sinh
cosh
tanh
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asinh
acosh
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### Videos

$2\cos\left(2x\right)$
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\sin\left(2x\right)\right)$

Solving method

1

The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if ${f(x) = \sin(x)}$, then ${f'(x) = \cos(x)\cdot D_x(x)}$

$\cos\left(2x\right)\frac{d}{dx}\left(2x\right)$
2

The derivative of the linear function times a constant, is equal to the constant

$2\cos\left(2x\right)$

$2\cos\left(2x\right)$
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

### Tips on how to improve your answer:

$\frac{d}{dx}\left(\sin\left(2x\right)\right)$

### Main topic:

Differential Calculus

~ 0.03 s