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Find the derivative $\frac{d}{dx}\left(x^{\frac{1\cdot -3}{2}}\right)$ using the power rule

Step-by-step Solution

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Final answer to the problem

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

How should I solve this problem?

  • Find the derivative using the quotient rule
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Load more...
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1

Simplifying

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

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

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Learn how to solve integral calculus problems step by step online. Find the derivative d/dx(x^((1*-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.

Final answer to the problem

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

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Function Plot

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

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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

How to improve your answer:

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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