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

Step-by-step Solution

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acosh
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Final answer to the problem

$\frac{-2}{\sqrt{1-4x^2}}$
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Step-by-step Solution

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  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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1

Taking the derivative of arccosine

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$\frac{-1}{\sqrt{1-\left(2x\right)^2}}\frac{d}{dx}\left(2x\right)$

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Learn how to solve problems step by step online. Find the derivative of arccos(2x). Taking the derivative of arccosine. The power of a product is equal to the product of it's factors raised to the same power. Multiply -1 times 4. The derivative of the linear function times a constant, is equal to the constant.

Final answer to the problem

$\frac{-2}{\sqrt{1-4x^2}}$

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Function Plot

Plotting: $\frac{-2}{\sqrt{1-4x^2}}$

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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
|◻|
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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