# Step-by-step Solution

Go!
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## Step-by-step Solution

Problem to solve:

$\frac{d}{dx}\left(\left(x^2+1\right)^2\left(x-1\right)^5x^4\right)$

Solving method

Learn how to solve trigonometric identities problems step by step online.

$x^4\frac{d}{dx}\left(\left(x^2+1\right)^2\right)\left(x-1\right)^5+\left(x^2+1\right)^2\frac{d}{dx}\left(x^4\left(x-1\right)^5\right)$

Learn how to solve trigonometric identities problems step by step online. Find the derivative using the product rule (d/dx)((x^2+1)^2(x-1)^5*x^4). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(x^2+1\right)^2 and g=x^4\left(x-1\right)^5. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(x-1\right)^5 and g=x^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}.

$2x^4\left(x^2+1\right)\frac{d}{dx}\left(x^2+1\right)\left(x-1\right)^5+\left(x^2+1\right)^2\left(5x^4\left(x-1\right)^{4}\frac{d}{dx}\left(x-1\right)+4x^{3}\left(x-1\right)^5\right)$
SnapXam A2

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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

$\frac{d}{dx}\left(\left(x^2+1\right)^2\left(x-1\right)^5x^4\right)$

### Main topic:

Trigonometric Identities

~ 1.08 s