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

## Step-by-step Solution

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$-4\sin\left(2x-\sin\left(2x\right)\right)\sin\left(x\right)^2$
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## Step-by-step Solution

Problem to solve:

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

Specify the solving method

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

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

Learn how to solve differential calculus problems step by step online.

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

Learn how to solve differential calculus problems step by step online. Find the derivative of cos(2x-sin(2x)). The derivative of the cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of a function multiplied by a constant (-1) is equal to the constant times the derivative of the function.

$-4\sin\left(2x-\sin\left(2x\right)\right)\sin\left(x\right)^2$

### Explore different ways to solve this problem

Find the derivativeProduct ruleQuotient ruleLogarithmic differentiation
SnapXam A2

### beta Got another answer? Verify it!

Go!
1
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5
6
7
8
9
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

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

### Main topic:

Differential Calculus

~ 0.08 s