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

Step-by-step Solution

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Solution

Formulas

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Final answer to the problem

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

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Learn how to solve sum rule of differentiation 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

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

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Function Plot

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

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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
D□x
∫
∫◻
|◻|
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

How to improve your answer:

Similar Problems Solved

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

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

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

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

$\frac{d}{dx}\left(2x+1\right)^3$

$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

$\frac{d}{dx}\left(\arcsin\left(x^3\right)\right)$

Main Topic: Sum Rule of Differentiation

The sum rule is a method to find the derivative of a function that is the sum of two or more functions.

Used Formulas

See formulas (5)

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