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

## Step-by-step Solution

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###  Videos

$-\frac{2}{3}x$
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##  Step-by-step Solution 

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The derivative of a function multiplied by a constant ($\frac{1}{-3}$) is equal to the constant times the derivative of the function

$\frac{1}{-3}\frac{d}{dx}\left(x^2-2\right)$

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

$\frac{1}{-3}\frac{d}{dx}\left(x^2-2\right)$

Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx((x^2-2)/-3). The derivative of a function multiplied by a constant (\frac{1}{-3}) is equal to the constant times the derivative of the function. Divide 1 by -3. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-2) is equal to zero.

$-\frac{2}{3}x$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Find the derivativeFind derivative of (x^2-2)/-3 using the quotient ruleFind derivative of (x^2-2)/-3 using logarithmic differentiationFind derivative of (x^2-2)/-3 using the definition

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1
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3
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5
6
7
8
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

### 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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