Mister Exam
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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^4+2)
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Derivative of (x-1)/2
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Derivative of sqrt(4-x^2)
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Derivative of sin(x)*sin(x)
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Identical expressions
- x^ four +arctg(two x)-ln(x^2)
- x to the power of 4 plus arctg(2x) minus ln(x squared )
- x to the power of four plus arctg(two x) minus ln(x squared )
- x4+arctg(2x)-ln(x2)
- x4+arctg2x-lnx2
- x⁴+arctg(2x)-ln(x²)
- x to the power of 4+arctg(2x)-ln(x to the power of 2)
- x^4+arctg2x-lnx^2
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Similar expressions
- x^4+arctg(2x)+ln(x^2)
- x^4-arctg(2x)-ln(x^2)
Derivative of x^4+arctg(2x)-ln(x^2)
The solution
You have entered
[src]
4 / 2\ x + atan(2*x) - log\x /
$$x^{4} - \log{\left(x^{2} \right)} + \operatorname{atan}{\left(2 x \right)}$$
d / 4 / 2\\ --\x + atan(2*x) - log\x // dx
$$\frac{d}{d x} \left(x^{4} - \log{\left(x^{2} \right)} + \operatorname{atan}{\left(2 x \right)}\right)$$
The first derivative
[src]
2 2 3
- - + -------- + 4*x
x 2
1 + 4*x
$$4 x^{3} + \frac{2}{4 x^{2} + 1} - \frac{2}{x}$$
The second derivative
[src]
/1 2 8*x \ 2*|-- + 6*x - -----------| | 2 2| |x / 2\ | \ \1 + 4*x / /
$$2 \cdot \left(6 x^{2} - \frac{8 x}{\left(4 x^{2} + 1\right)^{2}} + \frac{1}{x^{2}}\right)$$
The third derivative
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/ 2 \ | 1 4 64*x | 4*|- -- - ----------- + 6*x + -----------| | 3 2 3| | x / 2\ / 2\ | \ \1 + 4*x / \1 + 4*x / /
$$4 \cdot \left(6 x + \frac{64 x^{2}}{\left(4 x^{2} + 1\right)^{3}} - \frac{4}{\left(4 x^{2} + 1\right)^{2}} - \frac{1}{x^{3}}\right)$$
The graph