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Find the derivative of $\arccos\left(\frac{x+1}{2}\right)$

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Solution

Formulas

Videos

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Epsilon-delta limit definition 2 | Limits | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=Fdu5-aNJTzU

Second Derivatives of Parametric Equations With Concavity

https://www.youtube.com/watch?v=93IdxRdd5eg

Differentiation of Parametric Curves - Finding The Third Derivative

https://www.youtube.com/watch?v=CZKl9C0_gMw

Limits by rationalizing | Limits and continuity | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=yVWxxQ7SMOw

Slope of a secant line example 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=XdsifNBa9kk

Function Plot

Plotting: $\frac{-1}{2\sqrt{1-\left(\frac{x+1}{2}\right)^2}}$

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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

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

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

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

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

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

$\frac{d}{dx}\left(\arcsin\left(4x\right)\right)$

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

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

See formulas (5)

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