Find the derivative of $\frac{f}{g}x$

Step-by-step Solution

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Final answer to the problem

$\frac{\left(g-f\right)x}{g^2}$
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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
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Load more...
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The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$x\frac{d}{dg}\left(\frac{f}{g}\right)$

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

$x\frac{d}{dg}\left(\frac{f}{g}\right)$

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Learn how to solve differential calculus problems step by step online. Find the derivative of f/gx. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. 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. Multiplying the fraction by x.

Final answer to the problem

$\frac{\left(g-f\right)x}{g^2}$

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Function Plot

Plotting: $\frac{\left(g-f\right)x}{g^2}$

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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

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

See formulas (3)

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