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# Find the limit of $\frac{1-\cos\left(x\right)}{x^2}$ as $x$ approaches 0

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asin
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sinh
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asech
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## Basic Derivatives

· Sum Rule for Differentiation
$\frac{d}{dx}\left[f\left(x\right)+g\left(x\right)\right]=\frac{d}{dx}f\left(x\right) + \frac{d}{dx}g\left(x\right)$
· Derivative of a Constant
$\frac{d}{dx}\left(c\right)=0$
$\frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right)$
· Power rule for derivatives
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}$
· Derivative of the linear function
$\frac{d}{dx}\left(x\right)=1$

## Derivatives of trigonometric functions

· Derivative of the cosine function
$\frac{d}{dx}\left(\cos\left(x\right)\right)=-\sin\left(x\right)$
· Derivative of the sine function
$\frac{d}{dx}\left(\sin\left(x\right)\right)=\cos\left(x\right)$
SnapXam A2

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1
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7
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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
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

$\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$

Limits

~ 0.06 s