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How to use it?
- Derivative of:
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Derivative of x+4
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Derivative of 6/x
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Derivative of x^2*tan(x)
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Derivative of 9
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Identical expressions
- tanx^tanx
- tangent of x to the power of tangent of x
- tanxtanx
Derivative of tanx^tanx
The solution
You have entered
[src]
tan(x) tan (x)
$$\tan^{\tan{\left(x \right)}}{\left(x \right)}$$
tan(x)^tan(x)
Detail solution
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Don't know the steps in finding this derivative.
But the derivative is
The answer is:
The first derivative
[src]
tan(x) / 2 / 2 \ \ tan (x)*\1 + tan (x) + \1 + tan (x)/*log(tan(x))/
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
The second derivative
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/ 2 / 2 \\
tan(x) |/ 2 / 2 \ \ / 2 \ | 1 + tan (x) ||
tan (x)*|\1 + tan (x) + \1 + tan (x)/*log(tan(x))/ + \1 + tan (x)/*|2*tan(x) + ----------- + 2*log(tan(x))*tan(x)||
\ \ tan(x) //
$$\left(\left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + 2 \log{\left(\tan{\left(x \right)} \right)} \tan{\left(x \right)} + 2 \tan{\left(x \right)}\right) + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2}\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
The third derivative
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/ / 2 \ \
| 3 | / 2 \ | / 2 \|
tan(x) |/ 2 / 2 \ \ / 2 \ | 2 \1 + tan (x)/ / 2 \ 2 | / 2 \ / 2 / 2 \ \ | 1 + tan (x) ||
tan (x)*|\1 + tan (x) + \1 + tan (x)/*log(tan(x))/ + \1 + tan (x)/*|8 + 12*tan (x) - -------------- + 2*\1 + tan (x)/*log(tan(x)) + 4*tan (x)*log(tan(x))| + 3*\1 + tan (x)/*\1 + tan (x) + \1 + tan (x)/*log(tan(x))/*|2*tan(x) + ----------- + 2*log(tan(x))*tan(x)||
| | 2 | \ tan(x) /|
\ \ tan (x) / /
$$\left(3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right) \left(\frac{\tan^{2}{\left(x \right)} + 1}{\tan{\left(x \right)}} + 2 \log{\left(\tan{\left(x \right)} \right)} \tan{\left(x \right)} + 2 \tan{\left(x \right)}\right) + \left(\tan^{2}{\left(x \right)} + 1\right) \left(- \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\tan^{2}{\left(x \right)}} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + 4 \log{\left(\tan{\left(x \right)} \right)} \tan^{2}{\left(x \right)} + 12 \tan^{2}{\left(x \right)} + 8\right) + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(\tan{\left(x \right)} \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3}\right) \tan^{\tan{\left(x \right)}}{\left(x \right)}$$
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