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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 ln(1+x)
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Derivative of e^sin(x)
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Derivative of e^(-2*x)
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Derivative of sin(x)-x*cos(x)
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Identical expressions
- y=x*arcsin2x- one / five
- y equally x multiply by arc sinus of 2x minus 1 divide by 5
- y equally x multiply by arc sinus of 2x minus one divide by five
- y=xarcsin2x-1/5
- y=x*arcsin2x-1 divide by 5
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Similar expressions
- y=x*arcsin(2*x-1/5)
- y=x*arcsin2x+1/5
Derivative of y=x*arcsin2x-1/5
The solution
You have entered
[src]
x*asin(2*x) - 1/5
$$x \operatorname{asin}{\left(2 x \right)} - \frac{1}{5}$$
d --(x*asin(2*x) - 1/5) dx
$$\frac{d}{d x} \left(x \operatorname{asin}{\left(2 x \right)} - \frac{1}{5}\right)$$
The first derivative
[src]
2*x ------------- + asin(2*x) __________ / 2 \/ 1 - 4*x
$$\operatorname{asin}{\left(2 x \right)} + \frac{2 x}{\sqrt{- 4 x^{2} + 1}}$$
The second derivative
[src]
/ 2 \
| 2*x |
4*|1 + --------|
| 2|
\ 1 - 4*x /
----------------
__________
/ 2
\/ 1 - 4*x
$$\frac{4 \cdot \left(\frac{2 x^{2}}{- 4 x^{2} + 1} + 1\right)}{\sqrt{- 4 x^{2} + 1}}$$
The third derivative
[src]
/ 2 \
| 3*x |
32*x*|1 + --------|
| 2|
\ 1 - 4*x /
-------------------
3/2
/ 2\
\1 - 4*x /
$$\frac{32 x \left(\frac{3 x^{2}}{- 4 x^{2} + 1} + 1\right)}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}}$$
The graph