ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Find the higher order ($3$) derivative of $\sqrt[5]{x}$

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

$\frac{\frac{36}{125}}{\sqrt[5]{x^{14}}}$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify the solving method

1

Find the ($1$) derivative

$\frac{1}{5}x^{-\frac{4}{5}}$

Learn how to solve differential calculus problems step by step online.

$\frac{1}{5}x^{-\frac{4}{5}}$

Learn how to solve differential calculus problems step by step online. Find the higher order (3) derivative of x^1/5. Find the (1) derivative. Find the (2) derivative. Find the (3) derivative. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.

##  Final Answer

$\frac{\frac{36}{125}}{\sqrt[5]{x^{14}}}$

##  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 x^0.2 using the product ruleFind derivative of x^0.2 using the quotient ruleFind derivative of x^0.2 using logarithmic differentiationFind derivative of x^0.2 using the definition

SnapXam A2

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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account