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# Find the derivative of $\left(4x^4-1\right)^{-\frac{1}{3}}$

## Step-by-step Solution

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### Videos

$\frac{-\frac{16}{3}x^{3}}{\sqrt{\left(4x^4-1\right)^{4}}}$
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\left(4x^4-1\right)^{-\frac{1}{3}}\right)$

Specify the solving method

1

The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$

$-\frac{1}{3}\left(4x^4-1\right)^{-\frac{4}{3}}\frac{d}{dx}\left(4x^4-1\right)$

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

$-\frac{1}{3}\left(4x^4-1\right)^{-\frac{4}{3}}\frac{d}{dx}\left(4x^4-1\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of (4x^4-1)^(-1/3). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero. The derivative of a function multiplied by a constant (4) is equal to the constant times the derivative of the function.

$\frac{-\frac{16}{3}x^{3}}{\sqrt{\left(4x^4-1\right)^{4}}}$
SnapXam A2

### beta Got another 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

$\frac{d}{dx}\left(\left(4x^4-1\right)^{-\frac{1}{3}}\right)$