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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 e^x-1
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Derivative of (-1)/x^3
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Derivative of x^2/(x-1)
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Derivative of 1/(2*x)
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Identical expressions
- four /(sqrtx)+arcsin(x)^ two
- 4 divide by ( square root of x) plus arc sinus of (x) squared
- four divide by ( square root of x) plus arc sinus of (x) to the power of two
- 4/(√x)+arcsin(x)^2
- 4/(sqrtx)+arcsin(x)2
- 4/sqrtx+arcsinx2
- 4/(sqrtx)+arcsin(x)²
- 4/(sqrtx)+arcsin(x) to the power of 2
- 4/sqrtx+arcsinx^2
- 4 divide by (sqrtx)+arcsin(x)^2
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Similar expressions
- 4/(sqrtx)-arcsin(x)^2
- 4/(sqrtx)+arcsinx^2
Derivative of 4/(sqrtx)+arcsin(x)^2
The solution
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[src]
4 2 ----- + asin (x) ___ \/ x
$$\operatorname{asin}^{2}{\left(x \right)} + \frac{4}{\sqrt{x}}$$
4/sqrt(x) + asin(x)^2
The first derivative
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2 2*asin(x)
- ---- + -----------
3/2 ________
x / 2
\/ 1 - x
$$\frac{2 \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}} - \frac{2}{x^{\frac{3}{2}}}$$
The second derivative
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2 3 2*x*asin(x)
- ------- + ---- + -----------
2 5/2 3/2
-1 + x x / 2\
\1 - x /
$$\frac{2 x \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{2}{x^{2} - 1} + \frac{3}{x^{\frac{5}{2}}}$$
The third derivative
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2
15 2*asin(x) 6*x 6*x *asin(x)
- ------ + ----------- + ---------- + ------------
7/2 3/2 2 5/2
2*x / 2\ / 2\ / 2\
\1 - x / \-1 + x / \1 - x /
$$\frac{6 x^{2} \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{6 x}{\left(x^{2} - 1\right)^{2}} + \frac{2 \operatorname{asin}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{15}{2 x^{\frac{7}{2}}}$$