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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 (x^2+1)/x
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Derivative of coth(x)/tanh(x)
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Derivative of x/sin(x)
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Derivative of x^3-3*x^2
- Graphing y =:
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arcsinx^2
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Identical expressions
- y=arcsinx^ two
- y equally arc sinus of x squared
- y equally arc sinus of x to the power of two
- y=arcsinx2
- y=arcsinx²
- y=arcsinx to the power of 2
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Similar expressions
- (arcsin(x^2+3))^2
- (arcsin(x^2))/ln(3x)
- (arcsinx)^2
Derivative of y=arcsinx^2
The solution
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2 asin (x)
$$\operatorname{asin}^{2}{\left(x \right)}$$
d / 2 \ --\asin (x)/ dx
$$\frac{d}{d x} \operatorname{asin}^{2}{\left(x \right)}$$
The first derivative
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2*asin(x) ----------- ________ / 2 \/ 1 - x
$$\frac{2 \operatorname{asin}{\left(x \right)}}{\sqrt{- x^{2} + 1}}$$
The second derivative
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/ 1 x*asin(x) \ 2*|- ------- + -----------| | 2 3/2| | -1 + x / 2\ | \ \1 - x / /
$$2 \left(\frac{x \operatorname{asin}{\left(x \right)}}{\left(- x^{2} + 1\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1}\right)$$
The third derivative
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/ 2 \ | asin(x) 3*x 3*x *asin(x)| 2*|----------- + ---------- + ------------| | 3/2 2 5/2 | |/ 2\ / 2\ / 2\ | \\1 - x / \-1 + x / \1 - x / /
$$2 \cdot \left(\frac{3 x}{\left(x^{2} - 1\right)^{2}} + \frac{3 x^{2} \operatorname{asin}{\left(x \right)}}{\left(- x^{2} + 1\right)^{\frac{5}{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}\right)$$
The graph