Mister Exam
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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 -2x/(1+x^2)^2
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Derivative of (x^2+49)/x
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Derivative of x*e^x-e^x
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Derivative of (x-3)/sqrt(x)
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Identical expressions
- asin(sqrt(four - five *x))
- arc sinus of e of ( square root of (4 minus 5 multiply by x))
- arc sinus of e of ( square root of (four minus five multiply by x))
- asin(√(4-5*x))
- asin(sqrt(4-5x))
- asinsqrt4-5x
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Similar expressions
- asin(sqrt(4+5*x))
- arcsin(sqrt(4-5*x))
Derivative of asin(sqrt(4-5*x))
The solution
You have entered
[src]
/ _________\ asin\\/ 4 - 5*x /
$$\operatorname{asin}{\left(\sqrt{4 - 5 x} \right)}$$
asin(sqrt(4 - 5*x))
The first derivative
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-5
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__________ _________
2*\/ -3 + 5*x *\/ 4 - 5*x
$$- \frac{5}{2 \sqrt{4 - 5 x} \sqrt{5 x - 3}}$$
The second derivative
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/ 1 1 \
25*|-------- - -------|
\-3 + 5*x 4 - 5*x/
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__________ _________
4*\/ -3 + 5*x *\/ 4 - 5*x
$$\frac{25 \left(\frac{1}{5 x - 3} - \frac{1}{4 - 5 x}\right)}{4 \sqrt{4 - 5 x} \sqrt{5 x - 3}}$$
The third derivative
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/ 3 3 2 \
125*|- ----------- - ---------- + --------------------|
| 2 2 (-3 + 5*x)*(4 - 5*x)|
\ (-3 + 5*x) (4 - 5*x) /
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__________ _________
8*\/ -3 + 5*x *\/ 4 - 5*x
$$\frac{125 \left(- \frac{3}{\left(5 x - 3\right)^{2}} + \frac{2}{\left(4 - 5 x\right) \left(5 x - 3\right)} - \frac{3}{\left(4 - 5 x\right)^{2}}\right)}{8 \sqrt{4 - 5 x} \sqrt{5 x - 3}}$$