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

Step-by-step Solution

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asinh
acosh
atanh
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Final Answer

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

Problem to solve:

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

Choose the solving method

1

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

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

Learn how to solve calculus problems step by step online.

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

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Find the derivative of 2tan(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 tangent of a function is equal to secant squared of that function times the derivative of that function, in other words, if {f(x) = tan(x)}, then {f'(x) = sec^2(x)\cdot D_x(x)}. The derivative of the linear function times a constant, is equal to the constant.

Final Answer

$4\sec\left(2x\right)^2$
SnapXam A2
Answer Assistant

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Got another answer? Verify it!

Go!
1
2
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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

Tips on how to improve your answer:

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

Main topic:

Calculus

Time to solve it:

~ 0.16 s

Related topics:

Calculus