Mister Exam
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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
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- Differential equations Step by Step
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How to use it?
- Derivative of:
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Derivative of y=5
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Derivative of x^3+1/x-1
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Derivative of x^2*tgx
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Derivative of sin(x-(3/5))-(8/5)
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Identical expressions
- arctg((2x)^½)
- arctg((2x) to the power of ½)
- arctg((2x)½)
- arctg2x½
- arctg2x^½
Derivative of arctg((2x)^½)
The solution
You have entered
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/ _____\ atan\\/ 2*x /
$$\operatorname{atan}{\left(\sqrt{2 x} \right)}$$
atan(sqrt(2*x))
The first derivative
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\/ 2
-----------------
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2*\/ x *(1 + 2*x)
$$\frac{\sqrt{2}}{2 \sqrt{x} \left(2 x + 1\right)}$$
The second derivative
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___ / 1 1 \
-\/ 2 *|------- + ---|
\1 + 2*x 4*x/
-----------------------
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\/ x *(1 + 2*x)
$$- \frac{\sqrt{2} \left(\frac{1}{2 x + 1} + \frac{1}{4 x}\right)}{\sqrt{x} \left(2 x + 1\right)}$$
The third derivative
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___ / 4 3 1 \
\/ 2 *|---------- + ---- + -----------|
| 2 2 x*(1 + 2*x)|
\(1 + 2*x) 8*x /
---------------------------------------
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\/ x *(1 + 2*x)
$$\frac{\sqrt{2} \left(\frac{4}{\left(2 x + 1\right)^{2}} + \frac{1}{x \left(2 x + 1\right)} + \frac{3}{8 x^{2}}\right)}{\sqrt{x} \left(2 x + 1\right)}$$