ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Find the derivative of $\arccos\left(\sqrt{1-x^2}\right)$

Go!
Symbolic mode
Text mode
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

##  Final answer to the problem

$\frac{1}{\sqrt{1-x^2}}$
Got another answer? Verify it here!

##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• 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
Can't find a method? Tell us so we can add it.
1

Taking the derivative of arccosine

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

Learn how to solve problems step by step online.

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

Learn how to solve problems step by step online. Find the derivative of arccos((1-x^2)^(1/2)). Taking the derivative of arccosine. Cancel exponents \frac{1}{2} and 2. Simplify the product -(1-x^2). Subtract the values 1 and -1.

##  Final answer to the problem

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

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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