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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 e^(1/x)
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Derivative of x*x
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Derivative of x^(3/4)
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Derivative of (x-1)/(x+1)
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Identical expressions
- asin(x)*cbrt(two *x)/ one -x^ two
- arc sinus of e of (x) multiply by cubic root of (2 multiply by x) divide by 1 minus x squared
- arc sinus of e of (x) multiply by cubic root of (two multiply by x) divide by one minus x to the power of two
- asin(x)*cbrt(2*x)/1-x2
- asinx*cbrt2*x/1-x2
- asin(x)*cbrt(2*x)/1-x²
- asin(x)*cbrt(2*x)/1-x to the power of 2
- asin(x)cbrt(2x)/1-x^2
- asin(x)cbrt(2x)/1-x2
- asinxcbrt2x/1-x2
- asinxcbrt2x/1-x^2
- asin(x)*cbrt(2*x) divide by 1-x^2
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Similar expressions
- asin(x)*cbrt(2*x)/1+x^2
- arcsin(x)*cbrt(2*x)/1-x^2
- arcsinx*cbrt(2*x)/1-x^2
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What you mean?
- asin(x)*(2*x)^(1/3)/(1 - x^2)
- asin(x)*(2*x)^(1/3)*2/(1 - x)
- asin(x)*(2*x)^(1/3)/((1 - x)^2)
- asin(x)*(2*x)^(1/3)/1 - x^2
- asin(x*(2*x)^(1/3))/(1 - x^2)
- asin(x*(2*x)^(1/3))*2/(1 - x)
- asin(x)*(2*x)^(1/3)/1 - x^2
You entered:
asin(x)*cbrt(2*x)/1-x^2
What you mean?
Derivative of asin(x)*cbrt(2*x)/1-x^2
The solution
You have entered
[src]
3 _____
asin(x)*\/ 2*x 2
--------------- - x
1
$$- x^{2} + \frac{\sqrt[3]{2 x} \operatorname{asin}{\left(x \right)}}{1}$$
/ 3 _____ \ d |asin(x)*\/ 2*x 2| --|--------------- - x | dx\ 1 /
$$\frac{d}{d x} \left(- x^{2} + \frac{\sqrt[3]{2 x} \operatorname{asin}{\left(x \right)}}{1}\right)$$
The first derivative
[src]
3 ___ 3 ___ 3 ___
\/ 2 *\/ x \/ 2 *asin(x)
-2*x + ----------- + -------------
________ 2/3
/ 2 3*x
\/ 1 - x
$$- 2 x + \frac{\sqrt[3]{2} \sqrt[3]{x}}{\sqrt{- x^{2} + 1}} + \frac{\sqrt[3]{2} \operatorname{asin}{\left(x \right)}}{3 x^{\frac{2}{3}}}$$
The second derivative
[src]
3 ___ 4/3 3 ___ 3 ___
\/ 2 *x 2*\/ 2 *asin(x) 2*\/ 2
-2 + ----------- - --------------- + ------------------
3/2 5/3 ________
/ 2\ 9*x 2/3 / 2
\1 - x / 3*x *\/ 1 - x
$$\frac{\sqrt[3]{2} x^{\frac{4}{3}}}{\left(- x^{2} + 1\right)^{\frac{3}{2}}} - 2 + \frac{2 \cdot \sqrt[3]{2}}{3 x^{\frac{2}{3}} \sqrt{- x^{2} + 1}} - \frac{2 \cdot \sqrt[3]{2} \operatorname{asin}{\left(x \right)}}{9 x^{\frac{5}{3}}}$$
The third derivative
[src]
/ 3 ___ 7/3 \
3 ___ | 2*\/ x 3*x 2 10*asin(x)|
\/ 2 *|----------- + ----------- - ------------------ + ----------|
| 3/2 5/2 ________ 8/3 |
|/ 2\ / 2\ 5/3 / 2 27*x |
\\1 - x / \1 - x / 3*x *\/ 1 - x /
$$\sqrt[3]{2} \cdot \left(\frac{3 x^{\frac{7}{3}}}{\left(- x^{2} + 1\right)^{\frac{5}{2}}} + \frac{2 \sqrt[3]{x}}{\left(- x^{2} + 1\right)^{\frac{3}{2}}} - \frac{2}{3 x^{\frac{5}{3}} \sqrt{- x^{2} + 1}} + \frac{10 \operatorname{asin}{\left(x \right)}}{27 x^{\frac{8}{3}}}\right)$$
The graph