Mister Exam
Other calculators
- 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
-
How to use it?
- Derivative of:
-
Derivative of acos(2x)
-
Derivative of y=4sinx+9
-
Derivative of x^4-2x^2+2
-
Derivative of sin^23x
-
Identical expressions
- acos(2x)
- arc co sinus of e of ine of (2x)
- acos2x
-
Similar expressions
- acos(2*x)
- x(a*cos2x+bsin2x)
- (acos2x+bsin2x)
- acos(2*x-1)
- acos(2*x)^(3)
- arccos(2x)
Derivative of acos(2x)
The solution
You have entered
[src]
acos(2*x)
$$\operatorname{acos}{\left(2 x \right)}$$
d --(acos(2*x)) dx
$$\frac{d}{d x} \operatorname{acos}{\left(2 x \right)}$$
The first derivative
[src]
-2 ------------- __________ / 2 \/ 1 - 4*x
$$- \frac{2}{\sqrt{- 4 x^{2} + 1}}$$
The second derivative
[src]
-8*x
-------------
3/2
/ 2\
\1 - 4*x /
$$- \frac{8 x}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 12*x |
-8*|1 + --------|
| 2|
\ 1 - 4*x /
-----------------
3/2
/ 2\
\1 - 4*x /
$$- \frac{8 \cdot \left(\frac{12 x^{2}}{- 4 x^{2} + 1} + 1\right)}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}}$$
The graph