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Find the derivative using the quotient rule $\frac{d}{dx}\left(\sqrt{5x-6x\cdot x}\right)$

Step-by-step Solution

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Final answer to the problem

$\frac{5-12x}{2\sqrt{5x-6x^2}}$
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Step-by-step Solution

How should I solve this problem?

  • Find the derivative using the quotient rule
  • Find the derivative using the definition
  • Find the derivative using the product 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
  • Integrate by parts
  • Load more...
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1

Simplifying

$\frac{d}{dx}\left(\sqrt{5x-6x^2}\right)$

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$\frac{d}{dx}\left(\sqrt{5x-6x^2}\right)$

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Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx((5x-6xx)^1/2). Simplifying. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant.

Final answer to the problem

$\frac{5-12x}{2\sqrt{5x-6x^2}}$

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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

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Function Plot

Plotting: $\frac{5-12x}{2\sqrt{5x-6x^2}}$

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Got a different answer? Verify it!

Go!
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

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