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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
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Derivative of 2e^x
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Derivative of x/(x+1)
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Derivative of x^(x^2)
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Derivative of x/log(x)
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Identical expressions
- y=x√(one -x^ two)+arccosx
- y equally x√(1 minus x squared ) plus arc co sinus of e of x
- y equally x√(one minus x to the power of two) plus arc co sinus of e of x
- y=x√(1-x2)+arccosx
- y=x√1-x2+arccosx
- y=x√(1-x²)+arccosx
- y=x√(1-x to the power of 2)+arccosx
- y=x√1-x^2+arccosx
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Similar expressions
- y=x√(1-x^2)-arccosx
- y=x√(1+x^2)+arccosx
Derivative of y=x√(1-x^2)+arccosx
The solution
You have entered
[src]
________
/ 2
x*\/ 1 - x + acos(x)
$$x \sqrt{- x^{2} + 1} + \operatorname{acos}{\left(x \right)}$$
/ ________ \ d | / 2 | --\x*\/ 1 - x + acos(x)/ dx
$$\frac{d}{d x} \left(x \sqrt{- x^{2} + 1} + \operatorname{acos}{\left(x \right)}\right)$$
The first derivative
[src]
________ 2
/ 2 1 x
\/ 1 - x - ----------- - -----------
________ ________
/ 2 / 2
\/ 1 - x \/ 1 - x
$$- \frac{x^{2}}{\sqrt{- x^{2} + 1}} + \sqrt{- x^{2} + 1} - \frac{1}{\sqrt{- x^{2} + 1}}$$
The second derivative
[src]
/ 2 \
| 1 x |
-x*|3 + ------ + ------|
| 2 2|
\ 1 - x 1 - x /
-------------------------
________
/ 2
\/ 1 - x
$$- \frac{x \left(\frac{x^{2}}{- x^{2} + 1} + 3 + \frac{1}{- x^{2} + 1}\right)}{\sqrt{- x^{2} + 1}}$$
The third derivative
[src]
/ 2 4 2 \
| 1 3*x 3*x 6*x |
-|3 + ------ + --------- + --------- + ------|
| 2 2 2 2|
| 1 - x / 2\ / 2\ 1 - x |
\ \1 - x / \1 - x / /
-----------------------------------------------
________
/ 2
\/ 1 - x
$$- \frac{\frac{3 x^{4}}{\left(- x^{2} + 1\right)^{2}} + \frac{6 x^{2}}{- x^{2} + 1} + \frac{3 x^{2}}{\left(- x^{2} + 1\right)^{2}} + 3 + \frac{1}{- x^{2} + 1}}{\sqrt{- x^{2} + 1}}$$
The graph