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Solve the equation $y=\left(66x^4+44x^3+22x^2+66x\right)^{16}$

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Solution

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Final answer to the problem

$y=22^{16}x^{16}\left(3x^{3}+2x^2+x+3\right)^{16}$
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Step-by-step Solution

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Learn how to solve product rule of differentiation problems step by step online. Solve the equation y=(66x^4+44x^322x^266x)^16. Factor the polynomial \left(66x^4+44x^3+22x^2+66x\right) by it's greatest common factor (GCF): 22x. The power of a product is equal to the product of it's factors raised to the same power.

Final answer to the problem

$y=22^{16}x^{16}\left(3x^{3}+2x^2+x+3\right)^{16}$

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Function Plot

Plotting: $y-\left(66x^4+44x^3+22x^2+66x\right)^{16}$

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x
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(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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

How to improve your answer:

Similar Problems Solved

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$\frac{d}{dx}x\ln\left(x\right)$

$\frac{d}{dx}\left(xe^{2x}\right)$

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

$\frac{d}{dx}\left(\cos\left(x\right)\right)\cdot \csc\left(x\right)$

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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