Find the derivative of $9x^{\left(4-6x^3\right)}+7\left(\frac{4}{-9x}\right)$

Step-by-step Solution

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Final answer to the problem

$9\left(-18x^{3}\ln\left(x\right)+4-6x^3\right)x^{\left(3-6x^3\right)}+\frac{252}{\left(-9x\right)^2}$
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Step-by-step Solution

How should I solve this problem?

  • Find the derivative
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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1

Multiply the fraction by the term

$\frac{d}{dx}\left(9x^{\left(4-6x^3\right)}+\frac{7\cdot 4}{-9x}\right)$

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$\frac{d}{dx}\left(9x^{\left(4-6x^3\right)}+\frac{7\cdot 4}{-9x}\right)$

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Learn how to solve factorization problems step by step online. Find the derivative of 9x^(4-6x^3)+74/(-9x). Multiply the fraction by the term . Multiply 7 times 4. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.

Final answer to the problem

$9\left(-18x^{3}\ln\left(x\right)+4-6x^3\right)x^{\left(3-6x^3\right)}+\frac{252}{\left(-9x\right)^2}$

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Function Plot

Plotting: $9\left(-18x^{3}\ln\left(x\right)+4-6x^3\right)x^{\left(3-6x^3\right)}+\frac{252}{\left(-9x\right)^2}$

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7
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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

How to improve your answer:

Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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