The first derivative
[src]
tan(x) 3
28*3 *x tan(x) / 2 \ / 4\
-------------- + 3 *\1 + tan (x)/*asin\7*x /*log(3)
___________
/ 8
\/ 1 - 49*x
$$\frac{28 \cdot 3^{\tan{\left(x \right)}} x^{3}}{\sqrt{1 - 49 x^{8}}} + 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x^{4} \right)}$$
The second derivative
[src]
/ / 8 \ \
| 2 | 196*x | |
| 28*x *|-3 + ----------| |
| | 8| 3 / 2 \ |
tan(x) | \ -1 + 49*x / / 2 \ / / 2 \ \ / 4\ 56*x *\1 + tan (x)/*log(3)|
3 *|- ----------------------- + \1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(3)/*asin\7*x /*log(3) + --------------------------|
| ___________ ___________ |
| / 8 / 8 |
\ \/ 1 - 49*x \/ 1 - 49*x /
$$3^{\tan{\left(x \right)}} \left(\frac{56 x^{3} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\sqrt{1 - 49 x^{8}}} - \frac{28 x^{2} \left(\frac{196 x^{8}}{49 x^{8} - 1} - 3\right)}{\sqrt{1 - 49 x^{8}}} + \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x^{4} \right)}\right)$$
The third derivative
[src]
/ / 8 16 \ \
| | 1274*x 57624*x | / 8 \ |
|56*x*|3 - ---------- + -------------| 2 / 2 \ | 196*x | |
| | 8 2| 84*x *\1 + tan (x)/*|-3 + ----------|*log(3) |
| | -1 + 49*x / 8\ | / 2 \ | 8| 3 / 2 \ / / 2 \ \ |
tan(x) | \ \-1 + 49*x / / / 2 \ | 2 / 2 \ 2 / 2 \ | / 4\ \ -1 + 49*x / 84*x *\1 + tan (x)/*\2*tan(x) + \1 + tan (x)/*log(3)/*log(3)|
3 *|------------------------------------- + \1 + tan (x)/*\2 + 6*tan (x) + \1 + tan (x)/ *log (3) + 6*\1 + tan (x)/*log(3)*tan(x)/*asin\7*x /*log(3) - -------------------------------------------- + ------------------------------------------------------------|
| ___________ ___________ ___________ |
| / 8 / 8 / 8 |
\ \/ 1 - 49*x \/ 1 - 49*x \/ 1 - 49*x /
$$3^{\tan{\left(x \right)}} \left(\frac{84 x^{3} \left(\left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} + 2 \tan{\left(x \right)}\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\sqrt{1 - 49 x^{8}}} - \frac{84 x^{2} \left(\frac{196 x^{8}}{49 x^{8} - 1} - 3\right) \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\sqrt{1 - 49 x^{8}}} + \frac{56 x \left(\frac{57624 x^{16}}{\left(49 x^{8} - 1\right)^{2}} - \frac{1274 x^{8}}{49 x^{8} - 1} + 3\right)}{\sqrt{1 - 49 x^{8}}} + \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} + 6 \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(x \right)} + 6 \tan^{2}{\left(x \right)} + 2\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x^{4} \right)}\right)$$