👉 Try now NerdPal! Our new math app on iOS and Android

Find the derivative $\frac{d}{dx}\left(\frac{6}{3\sqrt{x}}\right)$

Step-by-step Solution

Go!
Math mode
Text mode
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

Final Answer

$\frac{-1}{\sqrt{x^{3}}}$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Simplify the derivative by applying the properties of logarithms

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

Learn how to solve equations problems step by step online.

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

Unlock unlimited step-by-step solutions and much more!

Unlock the first 2 steps of this solution.

Learn how to solve equations problems step by step online. Find the derivative d/dx(6/(3x^1/2)). Simplify the derivative by applying the properties of logarithms. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. Cancel exponents \frac{1}{2} and 2. The derivative of the constant function (2) is equal to zero.

Final Answer

$\frac{-1}{\sqrt{x^{3}}}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of 6/3x^0.5 using the product ruleFind derivative of 6/3x^0.5 using the quotient ruleFind derivative of 6/3x^0.5 using logarithmic differentiationFind derivative of 6/3x^0.5 using the definition

Give us your feedback!

Function Plot

Plotting: $\frac{-1}{\sqrt{x^{3}}}$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

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: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

Used Formulas

1. See formulas

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Complete step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium features on our iOS and Android app.

Join 500k+ students in problem solving.

Subscription plan. Cancel anytime.
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account