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)^3
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Derivative of 2*cos(3*x)
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Derivative of x^2/(x^2+1)
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Derivative of (x+1)/(x^2+1)
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Identical expressions
- y= two *arctg(x)+lnx^ three
- y equally 2 multiply by arctg(x) plus lnx cubed
- y equally two multiply by arctg(x) plus lnx to the power of three
- y=2*arctg(x)+lnx3
- y=2*arctgx+lnx3
- y=2*arctg(x)+lnx³
- y=2*arctg(x)+lnx to the power of 3
- y=2arctg(x)+lnx^3
- y=2arctg(x)+lnx3
- y=2arctgx+lnx3
- y=2arctgx+lnx^3
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Similar expressions
- y=2*arctg(x)-lnx^3
Derivative of y=2*arctg(x)+lnx^3
The solution
You have entered
[src]
3 2*atan(x) + log (x)
$$\log{\left(x \right)}^{3} + 2 \operatorname{atan}{\left(x \right)}$$
2*atan(x) + log(x)^3
The first derivative
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2
2 3*log (x)
------ + ---------
2 x
1 + x
$$\frac{2}{x^{2} + 1} + \frac{3 \log{\left(x \right)}^{2}}{x}$$
The second derivative
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2
4*x 3*log (x) 6*log(x)
- --------- - --------- + --------
2 2 2
/ 2\ x x
\1 + x /
$$- \frac{4 x}{\left(x^{2} + 1\right)^{2}} - \frac{3 \log{\left(x \right)}^{2}}{x^{2}} + \frac{6 \log{\left(x \right)}}{x^{2}}$$
The third derivative
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/ 2 2 \ | 2 3 9*log(x) 3*log (x) 8*x | 2*|- --------- + -- - -------- + --------- + ---------| | 2 3 3 3 3| | / 2\ x x x / 2\ | \ \1 + x / \1 + x / /
$$2 \left(\frac{8 x^{2}}{\left(x^{2} + 1\right)^{3}} - \frac{2}{\left(x^{2} + 1\right)^{2}} + \frac{3 \log{\left(x \right)}^{2}}{x^{3}} - \frac{9 \log{\left(x \right)}}{x^{3}} + \frac{3}{x^{3}}\right)$$