Mister Exam
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How to use it?
- Derivative of:
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Derivative of atan(sqrt(x))
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Derivative of 3*x^5
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Derivative of 3*x^2*e^x
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Derivative of 3*cos(3*x)
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Identical expressions
- arctan((four *x- one)^(one / two))
- arc tangent of ((4 multiply by x minus 1) to the power of (1 divide by 2))
- arc tangent of ((four multiply by x minus one) to the power of (one divide by two))
- arctan((4*x-1)(1/2))
- arctan4*x-11/2
- arctan((4x-1)^(1/2))
- arctan((4x-1)(1/2))
- arctan4x-11/2
- arctan4x-1^1/2
- arctan((4*x-1)^(1 divide by 2))
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Similar expressions
- arctan((4*x+1)^(1/2))
Derivative of arctan((4*x-1)^(1/2))
The solution
You have entered
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/ _________\ atan\\/ 4*x - 1 /
$$\operatorname{atan}{\left(\sqrt{4 x - 1} \right)}$$
atan(sqrt(4*x - 1))
The first derivative
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1
---------------
_________
2*x*\/ 4*x - 1
$$\frac{1}{2 x \sqrt{4 x - 1}}$$
The second derivative
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/ 1 1 \
-|-------- + ---|
\-1 + 4*x 2*x/
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__________
x*\/ -1 + 4*x
$$- \frac{\frac{1}{4 x - 1} + \frac{1}{2 x}}{x \sqrt{4 x - 1}}$$