Mister Exam
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- 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
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How to use it?
- Derivative of:
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Derivative of x^2*sqrt(1-x^2)
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Derivative of e^x*x^2
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Derivative of (x+3)/(x-3)
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Derivative of x^3/(x^2-4)
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Identical expressions
- one /(chx)^ two
- 1 divide by (chx) squared
- one divide by (chx) to the power of two
- 1/(chx)2
- 1/chx2
- 1/(chx)²
- 1/(chx) to the power of 2
- 1/chx^2
- 1 divide by (chx)^2
Derivative of 1/(chx)^2
The solution
The first derivative
[src]
-2*sinh(x)
----------------
2
cosh(x)*cosh (x)
$$- \frac{2 \sinh{\left(x \right)}}{\cosh{\left(x \right)} \cosh^{2}{\left(x \right)}}$$
The second derivative
[src]
/ 2 \
| 3*sinh (x)|
2*|-1 + ----------|
| 2 |
\ cosh (x) /
-------------------
2
cosh (x)
$$\frac{2 \left(\frac{3 \sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - 1\right)}{\cosh^{2}{\left(x \right)}}$$