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Simplify the expression $\frac{9\left(\frac{10\left(\frac{x^2y}{5}\right)a^3}{3m^2}\right)m}{x^3}$

Step-by-step Solution

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Final answer to the problem

$\frac{6a^{3}\left(y^{\prime}x-y\right)}{mx^2}$
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Step-by-step Solution

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  • Solve by implicit differentiation
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
  • Find break even points
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1

Simplifying

$\frac{d}{dx}\left(\frac{6x^{-1}ya^3}{m}\right)$

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

$\frac{d}{dx}\left(\frac{6x^{-1}ya^3}{m}\right)$

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Learn how to solve differential calculus problems step by step online. Simplify the expression (((x^2y)/510a^3)/(3m^2)9m)/(x^3). Simplifying. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Any expression to the power of 1 is equal to that same expression. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}.

Final answer to the problem

$\frac{6a^{3}\left(y^{\prime}x-y\right)}{mx^2}$

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Plotting: $\frac{6a^{3}\left(y^{\prime}x-y\right)}{mx^2}$

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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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

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