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Find the derivative $\frac{d}{dx}\left(\frac{x}{a}=5\right)$

Step-by-step Solution

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Final Answer

$\frac{a-x}{a^2}=0$
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Step-by-step Solution

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1

Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable

$\frac{d}{dx}\left(\frac{x}{a}\right)=\frac{d}{dx}\left(5\right)$

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

$\frac{d}{dx}\left(\frac{x}{a}\right)=\frac{d}{dx}\left(5\right)$

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Learn how to solve differential calculus problems step by step online. Find the derivative d/dx(x/a=5). Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The derivative of the constant function (5) is equal to zero. 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}}. The derivative of the linear function is equal to 1.

Final Answer

$\frac{a-x}{a^2}=0$

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Got a different answer? Verify it!

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1
2
3
4
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

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.

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