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# Find the derivative of $\frac{d}{dx}\left(\frac{d}{dx}\left(5x^8\right)\right)$

## Step-by-step Solution

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###  Videos

$1680x^{5}$
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##  Step-by-step Solution 

Problem to solve:

$\frac{d}{dx}\left(\frac{d}{dx}\left(\frac{d}{dx}\left(5x^8\right)\right)\right)$

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The derivative $\frac{d}{dx}\left(5x^8\right)$ results in $40x^{7}$

$\frac{d}{dx}\left(\frac{d}{dx}\left(40x^{7}\right)\right)$

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

$\frac{d}{dx}\left(\frac{d}{dx}\left(40x^{7}\right)\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of d/dx(d/dx(5x^8)). The derivative \frac{d}{dx}\left(5x^8\right) results in 40x^{7}. The derivative \frac{d}{dx}\left(40x^{7}\right) results in 280x^{6}. The derivative of a function multiplied by a constant (280) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.

$1680x^{5}$

##  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 d/dx(d/dx(d/dx(5x^8))) using the product ruleFind d/dx(d/dx(d/dx(5x^8))) using the quotient ruleFind d/dx(d/dx(d/dx(5x^8))) using logarithmic differentiationFind d/dx(d/dx(d/dx(5x^8))) using the definition

SnapXam A2

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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

~ 0.08 s

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