Mister Exam
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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
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Derivative of ((x-1)/(x+1))^4
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Derivative of (x+1)e^-x
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Derivative of (x-1)/(2*x+3)
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Derivative of sin(x)/(x+1)
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Identical expressions
- arctgsqrt(6x- one)
- arctg square root of (6x minus 1)
- arctg square root of (6x minus one)
- arctg√(6x-1)
- arctgsqrt6x-1
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Similar expressions
- sqrt(6x-1)*arctg(sqrt(6x-1))
- arctgsqrt(6x+1)
Derivative of arctgsqrt(6x-1)
The solution
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/ _________\ atan\\/ 6*x - 1 /
$$\operatorname{atan}{\left(\sqrt{6 x - 1} \right)}$$
d / / _________\\ --\atan\\/ 6*x - 1 // dx
$$\frac{d}{d x} \operatorname{atan}{\left(\sqrt{6 x - 1} \right)}$$
The first derivative
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3 ------------------------- _________ \/ 6*x - 1 *(1 - 1 + 6*x)
$$\frac{3}{\sqrt{6 x - 1} \cdot \left(6 x - 1 + 1\right)}$$
The second derivative
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/1 3 \
-|- + --------|
\x -1 + 6*x/
----------------
__________
2*x*\/ -1 + 6*x
$$- \frac{\frac{3}{6 x - 1} + \frac{1}{x}}{2 x \sqrt{6 x - 1}}$$
The third derivative
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1 27 3
-- + ------------- + ------------
2 2 x*(-1 + 6*x)
x 2*(-1 + 6*x)
---------------------------------
__________
x*\/ -1 + 6*x
$$\frac{\frac{27}{2 \left(6 x - 1\right)^{2}} + \frac{3}{x \left(6 x - 1\right)} + \frac{1}{x^{2}}}{x \sqrt{6 x - 1}}$$
The graph