Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Derivative of:
-
Derivative of 6
-
Derivative of x^7*e^x
-
Derivative of 7x
-
Derivative of 8*x
-
Identical expressions
- coth(two *z+ four)+ seven *z^ four + two *z^(thirteen / ten)+ four
- hyperbolic co tangent of gent of (2 multiply by z plus 4) plus 7 multiply by z to the power of 4 plus 2 multiply by z to the power of (13 divide by 10) plus 4
- hyperbolic co tangent of gent of (two multiply by z plus four) plus seven multiply by z to the power of four plus two multiply by z to the power of (thirteen divide by ten) plus four
- coth(2*z+4)+7*z4+2*z(13/10)+4
- coth2*z+4+7*z4+2*z13/10+4
- coth(2*z+4)+7*z⁴+2*z^(13/10)+4
- coth(2z+4)+7z^4+2z^(13/10)+4
- coth(2z+4)+7z4+2z(13/10)+4
- coth2z+4+7z4+2z13/10+4
- coth2z+4+7z^4+2z^13/10+4
- coth(2*z+4)+7*z^4+2*z^(13 divide by 10)+4
-
Similar expressions
- coth(2*z+4)+7*z^4-2*z^(13/10)+4
- coth(2*z+4)+7*z^4+2*z^(13/10)-4
- coth(2*z+4)-7*z^4+2*z^(13/10)+4
- coth(2*z-4)+7*z^4+2*z^(13/10)+4
Derivative of coth(2*z+4)+7*z^4+2*z^(13/10)+4
The solution
You have entered
[src]
13
--
4 10
coth(2*z + 4) + 7*z + 2*z + 4
$$\left(2 z^{\frac{13}{10}} + \left(7 z^{4} + \coth{\left(2 z + 4 \right)}\right)\right) + 4$$
coth(2*z + 4) + 7*z^4 + 2*z^(13/10) + 4
The first derivative
[src]
3/10
2 3 13*z
- -------------- + 28*z + --------
2 5
sinh (2*z + 4)
$$\frac{13 z^{\frac{3}{10}}}{5} + 28 z^{3} - \frac{2}{\sinh^{2}{\left(2 z + 4 \right)}}$$
The second derivative
[src]
2 39 8*cosh(2*(2 + z))
84*z + -------- + -----------------
7/10 3
50*z sinh (2*(2 + z))
$$84 z^{2} + \frac{8 \cosh{\left(2 \left(z + 2\right) \right)}}{\sinh^{3}{\left(2 \left(z + 2\right) \right)}} + \frac{39}{50 z^{\frac{7}{10}}}$$
The third derivative
[src]
2
16 273 48*cosh (2*(2 + z))
---------------- + 168*z - ------- - -------------------
2 17 4
sinh (2*(2 + z)) -- sinh (2*(2 + z))
10
500*z
$$168 z + \frac{16}{\sinh^{2}{\left(2 \left(z + 2\right) \right)}} - \frac{48 \cosh^{2}{\left(2 \left(z + 2\right) \right)}}{\sinh^{4}{\left(2 \left(z + 2\right) \right)}} - \frac{273}{500 z^{\frac{17}{10}}}$$