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

Step-by-step Solution

Go!
Symbolic 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 to the problem

$\left(\frac{\ln\left(x\right)}{2\sqrt{x}}+\frac{1}{\sqrt{x}}\right)x^{\left(\sqrt{x}\right)}$
Got another answer? Verify it here!

Step-by-step Solution

How should I solve this problem?

  • Choisir une option
  • Produit de binômes avec terme commun
  • Méthode FOIL
  • Load more...
Can't find a method? Tell us so we can add it.
1

Apply the formula: $\frac{d}{dx}\left(a^b\right)$$=y=a^b$, where $d/dx=\frac{d}{dx}$, $a=x$, $b=\sqrt{x}$, $a^b=x^{\left(\sqrt{x}\right)}$ and $d/dx?a^b=\frac{d}{dx}\left(x^{\left(\sqrt{x}\right)}\right)$

$y=x^{\left(\sqrt{x}\right)}$

Learn how to solve différenciation logarithmique problems step by step online.

$y=x^{\left(\sqrt{x}\right)}$

With a free account, access a part of this solution

Unlock the first 3 steps of this solution

Learn how to solve différenciation logarithmique problems step by step online. d/dx(x^x^(1/2)). Apply the formula: \frac{d}{dx}\left(a^b\right)=y=a^b, where d/dx=\frac{d}{dx}, a=x, b=\sqrt{x}, a^b=x^{\left(\sqrt{x}\right)} and d/dx?a^b=\frac{d}{dx}\left(x^{\left(\sqrt{x}\right)}\right). Apply the formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), where a=x and b=\sqrt{x}. Apply the formula: \ln\left(x^a\right)=a\ln\left(x\right), where a=\sqrt{x}. Apply the formula: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), where x=\sqrt{x}\ln\left(x\right).

Final answer to the problem

$\left(\frac{\ln\left(x\right)}{2\sqrt{x}}+\frac{1}{\sqrt{x}}\right)x^{\left(\sqrt{x}\right)}$

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

Help us improve with your feedback!

Function Plot

Plotting: $\left(\frac{\ln\left(x\right)}{2\sqrt{x}}+\frac{1}{\sqrt{x}}\right)x^{\left(\sqrt{x}\right)}$

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:

Your Personal Math Tutor. Powered by AI

Available 24/7, 365.

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

Includes multiple solving methods.

Download complete solutions and keep them forever.

Premium access on our iOS and Android apps.

Join 500k+ students in problem solving.

Choose your plan. Cancel Anytime.
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.

Create an Account