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

Step-by-step Solution

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Final Answer

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

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The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function

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

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

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

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Learn how to solve integral calculus problems step by step online. Find the derivative of 2cos(2x). 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. The derivative of the linear function is equal to 1.

Final Answer

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

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Find the derivativeFind derivative of 2cos2x using the product ruleFind derivative of 2cos2x using the quotient ruleFind derivative of 2cos2x using logarithmic differentiationFind derivative of 2cos2x using the definition

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

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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
|◻|
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

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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

3. See formulas

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