Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of (x+1)^2
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Derivative of e^(2*x)
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Derivative of x^(1/x)
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Derivative of x*sin(x)
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Identical expressions
- y=x/ two *√(a²-x²)+a²/ two *arcsinx/ two
- y equally x divide by 2 multiply by √(a² minus x²) plus a² divide by 2 multiply by arc sinus of x divide by 2
- y equally x divide by two multiply by √(a² minus x²) plus a² divide by two multiply by arc sinus of x divide by two
- y=x/2√(a²-x²)+a²/2arcsinx/2
- y=x/2√a²-x²+a²/2arcsinx/2
- y=x divide by 2*√(a²-x²)+a² divide by 2*arcsinx divide by 2
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Similar expressions
- y=x/2*√(a²-x²)-a²/2*arcsinx/2
- y=x/2*√(a²+x²)+a²/2*arcsinx/2
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What you mean?
- x*sqrt(a^2 - x^2)/2 + a^2*asin(x)/(2*2)
- x*sqrt(a^2 - x^2)/2 + a^1*asin(x)/2
- x*sqrt(a^2 - x^2)/2 + a^1*asin(x)/2
You entered:
y=x/2*√(a²-x²)+a²/2*arcsinx/2
What you mean?
Derivative of y=x/2*√(a²-x²)+a²/2*arcsinx/2
The solution
You have entered
[src]
2
a
_________ --*asin(x)
x / 2 2 2
-*\/ a - x + ----------
2 2
$$\frac{x}{2} \sqrt{a^{2} - x^{2}} + \frac{\frac{a^{2}}{2} \operatorname{asin}{\left(x \right)}}{2}$$
The first derivative
[src]
_________
/ 2 2 2 2
\/ a - x x a
------------ - -------------- + -------------
2 _________ ________
/ 2 2 / 2
2*\/ a - x 4*\/ 1 - x
$$\frac{a^{2}}{4 \sqrt{1 - x^{2}}} - \frac{x^{2}}{2 \sqrt{a^{2} - x^{2}}} + \frac{\sqrt{a^{2} - x^{2}}}{2}$$
The second derivative
[src]
/ 2 2 \
| 6 a 2*x |
x*|- ------------ + ----------- - ------------|
| _________ 3/2 3/2|
| / 2 2 / 2\ / 2 2\ |
\ \/ a - x \1 - x / \a - x / /
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4
$$\frac{x \left(\frac{a^{2}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2 x^{2}}{\left(a^{2} - x^{2}\right)^{\frac{3}{2}}} - \frac{6}{\sqrt{a^{2} - x^{2}}}\right)}{4}$$
The third derivative
[src]
2 4 2 2 2
3 3*x 3*x a 3*a *x
- -------------- - ------------ - -------------- + ------------- + -------------
_________ 3/2 5/2 3/2 5/2
/ 2 2 / 2 2\ / 2 2\ / 2\ / 2\
2*\/ a - x \a - x / 2*\a - x / 4*\1 - x / 4*\1 - x /
$$\frac{3 a^{2} x^{2}}{4 \left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{a^{2}}{4 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3 x^{4}}{2 \left(a^{2} - x^{2}\right)^{\frac{5}{2}}} - \frac{3 x^{2}}{\left(a^{2} - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{2 \sqrt{a^{2} - x^{2}}}$$