Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

\frac{d}{dx}\left(\sqrt{1-\cos\left(x\right)}\right)

Find the derivative of (1-1cos(x))^0.5

Answer

$\frac{\frac{1}{2}\sin\left(x\right)}{\sqrt{1-\cos\left(x\right)}}$

Step-by-step explanation

Problem

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

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

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

Unlock this step-by-step solution!

Answer

$\frac{\frac{1}{2}\sin\left(x\right)}{\sqrt{1-\cos\left(x\right)}}$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!

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

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.32 seconds