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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
-
Derivative of 8
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Derivative of atan(3*x)
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Derivative of 6*e^x
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Derivative of 7/x^2
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Identical expressions
- y=arcsinx-10²x
- y equally arc sinus of x minus 10²x
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Similar expressions
- y=arcsinx+10²x
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What you mean?
- asin(x) - 10^2*x
- asin(x) - 10^(2*x)
- asin(x) - 10^(2*x)
You entered:
y=arcsinx-10²x
What you mean?
Derivative of y=arcsinx-10²x
The solution
You have entered
[src]
2 asin(x) - 10 *x
$$- 10^{2} x + \operatorname{asin}{\left(x \right)}$$
d / 2 \ --\asin(x) - 10 *x/ dx
$$\frac{d}{d x} \left(- 10^{2} x + \operatorname{asin}{\left(x \right)}\right)$$
The first derivative
[src]
1
-100 + -----------
________
/ 2
\/ 1 - x
$$-100 + \frac{1}{\sqrt{- x^{2} + 1}}$$
The second derivative
[src]
x
-----------
3/2
/ 2\
\1 - x /
$$\frac{x}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
[src]
2
3*x
1 + ------
2
1 - x
-----------
3/2
/ 2\
\1 - x /
$$\frac{\frac{3 x^{2}}{- x^{2} + 1} + 1}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}$$
The graph