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Find the derivative of $\sqrt{5x-6x\cdot x}$

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Solution

Formulas

Videos

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Epsilon-delta limit definition 1 | Limits | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=-ejyeII0i5c

Algebra 2 - Simplifying a rational exponent with a rational base, (4/3)^(-1/2)

https://www.youtube.com/watch?v=8s2xAi_B4uc

Calculus - Take the log of both sides to find the derivative, y = (x(x^2 + 1)^2)/(sqrt(2x^2 - 1))

https://www.youtube.com/watch?v=7aF6Ck6ZRxw

Tutorial - Solving an equation using factoring, 4x^2 - 5x + 1 = 0

https://www.youtube.com/watch?v=Ug_vC_Wf25U

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Function Plot

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

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y
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(◻)
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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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 (4)

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