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 e^x
-
Derivative of sin^4(3x^2-2)
-
Derivative of arccos(4x)
-
Derivative of y=sinx-ln3x
-
Identical expressions
- arccos(4x)
- arc co sinus of e of (4x)
- arccos4x
-
Similar expressions
- 1/2^1/2*arccos((4*x-3)/3)
- ctg^4x*arccos4(x^5)
- (7arccos(4x-1))/(x+2)^4
- (arccos(4*x))^2*ln(x-3)
- arccos^4(x)ln(x^2+x−1)
Derivative of arccos(4x)
The solution
You have entered
[src]
acos(4*x)
$$\operatorname{acos}{\left(4 x \right)}$$
d --(acos(4*x)) dx
$$\frac{d}{d x} \operatorname{acos}{\left(4 x \right)}$$
The first derivative
[src]
-4 -------------- ___________ / 2 \/ 1 - 16*x
$$- \frac{4}{\sqrt{- 16 x^{2} + 1}}$$
The second derivative
[src]
-64*x
--------------
3/2
/ 2\
\1 - 16*x /
$$- \frac{64 x}{\left(- 16 x^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| 48*x |
-64*|1 + ---------|
| 2|
\ 1 - 16*x /
-------------------
3/2
/ 2\
\1 - 16*x /
$$- \frac{64 \cdot \left(\frac{48 x^{2}}{- 16 x^{2} + 1} + 1\right)}{\left(- 16 x^{2} + 1\right)^{\frac{3}{2}}}$$
The graph