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
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How to use it?
- Derivative of:
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Derivative of sinx/cosx
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Derivative of ln(x^2+1)
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Derivative of sin(x)/(1+cos(x))
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Derivative of 8*x
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Identical expressions
- acos(2t)
- arc co sinus of e of ine of (2t)
- acos2t
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Similar expressions
- acos(2*t)
- (e^(t)*a*(cos2t))+(e^(t)*b*(sin2t))
- acos(2*t)-asin(3*t)
- 2*a*cos(t)-a*cos(2t)
- 2(a*cos2t+sin2t)
- arccos(2t)
Derivative of acos(2t)
The solution
You have entered
[src]
acos(2*t)
$$\operatorname{acos}{\left(2 t \right)}$$
d --(acos(2*t)) dt
$$\frac{d}{d t} \operatorname{acos}{\left(2 t \right)}$$
The first derivative
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-2 ------------- __________ / 2 \/ 1 - 4*t
$$- \frac{2}{\sqrt{- 4 t^{2} + 1}}$$
The second derivative
[src]
-8*t
-------------
3/2
/ 2\
\1 - 4*t /
$$- \frac{8 t}{\left(- 4 t^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 12*t |
-8*|1 + --------|
| 2|
\ 1 - 4*t /
-----------------
3/2
/ 2\
\1 - 4*t /
$$- \frac{8 \cdot \left(\frac{12 t^{2}}{- 4 t^{2} + 1} + 1\right)}{\left(- 4 t^{2} + 1\right)^{\frac{3}{2}}}$$
The graph