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# Find the derivative $\frac{d}{dx}\left(x^{-\frac{3}{2}}\right)$ using the power rule

## Step-by-step Solution

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asin
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sinh
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asinh
acosh
atanh
acoth
asech
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###  Videos

$\frac{-3}{2\sqrt{x^{5}}}$
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##  Step-by-step Solution 

Problem to solve:

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

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Simplifying

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

Learn how to solve power rule for derivatives problems step by step online.

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

Learn how to solve power rule for derivatives problems step by step online. Find the derivative d/dx(x^(-3/2)) using the power rule. Simplifying. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Subtract the values -\frac{3}{2} and -1. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.

$\frac{-3}{2\sqrt{x^{5}}}$

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Find the derivativeFind derivative of x^(-3/2) using the product ruleFind derivative of x^(-3/2) using the quotient ruleFind derivative of x^(-3/2) using logarithmic differentiationFind derivative of x^(-3/2) using the definition

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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

### Main topic:

Power Rule for Derivatives

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