Step-by-step Solution

Find the derivative using the product rule $\frac{d}{dx}\left(\left(x^4+2\right)^2\left(x^3+4\right)^4\right)$

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Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\left(x^4+2\right)^2\left(x^3+4\right)^4\right)$

Solving method

Learn how to solve product rule of differentiation problems step by step online.

$\frac{d}{dx}\left(\left(x^4+2\right)^2\right)\left(x^3+4\right)^4+\left(x^4+2\right)^2\frac{d}{dx}\left(\left(x^3+4\right)^4\right)$

Unlock this full step-by-step solution!

Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule (d/dx)((x^4+2)^2(x^3+4)^4). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(x^4+2\right)^2 and g=\left(x^3+4\right)^4. 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 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 functions is the sum of the derivatives of each function.

Final Answer

$\left(20x^{6}+32x^{3}+24x^2\right)\left(x^3+4\right)^{3}\left(x^4+2\right)$
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a
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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

Tips on how to improve your answer:

$\frac{d}{dx}\left(\left(x^4+2\right)^2\left(x^3+4\right)^4\right)$

Related Formulas:

4. See formulas

Time to solve it:

~ 1.93 s