Step-by-step Solution

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

Go!
1
2
3
4
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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step solution

Problem to solve:

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

Solving method

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

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

Unlock this full step-by-step solution!

Learn how to solve differential calculus problems step by step online. Find the derivative of 2cos(2*x). The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function. 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 the linear function times a constant, is equal to the constant.

Final Answer

$-4\sin\left(2x\right)$
$\frac{d}{dx}\left(2\cos\left(2x\right)\right)$

Main topic:

Differential Calculus

Related Formulas:

3. See formulas

Time to solve it:

~ 0.03 s