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How to use it?
- Derivative of:
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Derivative of tanh(x)
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Derivative of tanx
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Derivative of tg2x
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Derivative of ln(x+5)^9
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Identical expressions
- log(absolute(2x+ five))/log(ten)
- logarithm of (absolute(2x plus 5)) divide by logarithm of (10)
- logarithm of (absolute(2x plus five)) divide by logarithm of (ten)
- logabsolute2x+5/log10
- log(absolute(2x+5)) divide by log(10)
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Similar expressions
- log(absolute(2x-5))/log(10)
Derivative of log(absolute(2x+5))/log(10)
The solution
You have entered
[src]
log(|2*x + 5|) -------------- log(10)
$$\frac{\log{\left(\left|{2 x + 5}\right| \right)}}{\log{\left(10 \right)}}$$
log(|2*x + 5|)/log(10)
The first derivative
[src]
2*sign(5 + 2*x) ----------------- |2*x + 5|*log(10)
$$\frac{2 \operatorname{sign}{\left(2 x + 5 \right)}}{\log{\left(10 \right)} \left|{2 x + 5}\right|}$$
The second derivative
[src]
/ 2 \
| sign (5 + 2*x) 2*DiracDelta(5 + 2*x)|
4*|- -------------- + ---------------------|
| 2 |5 + 2*x| |
\ (5 + 2*x) /
--------------------------------------------
log(10)
$$\frac{4 \left(\frac{2 \delta\left(2 x + 5\right)}{\left|{2 x + 5}\right|} - \frac{\operatorname{sign}^{2}{\left(2 x + 5 \right)}}{\left(2 x + 5\right)^{2}}\right)}{\log{\left(10 \right)}}$$
The third derivative
[src]
/ 2 \
|sign (5 + 2*x) DiracDelta(5 + 2*x, 1) 3*DiracDelta(5 + 2*x)*sign(5 + 2*x)|
16*|-------------- + ---------------------- - -----------------------------------|
| 3 |5 + 2*x| 2 |
\ (5 + 2*x) (5 + 2*x) /
----------------------------------------------------------------------------------
log(10)
$$\frac{16 \left(\frac{\delta^{\left( 1 \right)}\left( 2 x + 5 \right)}{\left|{2 x + 5}\right|} - \frac{3 \delta\left(2 x + 5\right) \operatorname{sign}{\left(2 x + 5 \right)}}{\left(2 x + 5\right)^{2}} + \frac{\operatorname{sign}^{2}{\left(2 x + 5 \right)}}{\left(2 x + 5\right)^{3}}\right)}{\log{\left(10 \right)}}$$