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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of lgx
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Derivative of arccos(sqrt(x))
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Derivative of 8sin2x
- Derivative of y=x√a²-x²
- Graphing y =:
- arccos(sqrt(x))
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Identical expressions
- arccos(sqrt(x))
- arc co sinus of e of ( square root of (x))
- arccos(√(x))
- arccossqrtx
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Similar expressions
- (x-1)/(x+2)*arccos(sqrt(x-1))
- y=(x+1)^(arccossqrt(x))
- arccos*sqrt(x)
- (arcsin4*x)/(arccos*(sqrtx))
- arccos((sqrt(x))/(1+x))
Derivative of arccos(sqrt(x))
The solution
You have entered
[src]
/ ___\ acos\\/ x /
$$\operatorname{acos}{\left(\sqrt{x} \right)}$$
d / / ___\\ --\acos\\/ x // dx
$$\frac{d}{d x} \operatorname{acos}{\left(\sqrt{x} \right)}$$
The first derivative
[src]
-1
-----------------
___ _______
2*\/ x *\/ 1 - x
$$- \frac{1}{2 \sqrt{x} \sqrt{- x + 1}}$$
The second derivative
[src]
1 1
- - -----
x 1 - x
-----------------
___ _______
4*\/ x *\/ 1 - x
$$\frac{- \frac{1}{- x + 1} + \frac{1}{x}}{4 \sqrt{x} \sqrt{- x + 1}}$$
The third derivative
[src]
3 3 2
- -- - -------- + ---------
2 2 x*(1 - x)
x (1 - x)
---------------------------
___ _______
8*\/ x *\/ 1 - x
$$\frac{- \frac{3}{\left(- x + 1\right)^{2}} + \frac{2}{x \left(- x + 1\right)} - \frac{3}{x^{2}}}{8 \sqrt{x} \sqrt{- x + 1}}$$
The graph