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
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of (1-3x)^4
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Derivative of x²-4
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Derivative of sqrt(x)-1/(sqrt(x)*2-x-1)
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Derivative of f(x)=1/4x^4+x
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Identical expressions
- acos(two *x)^ two
- arc co sinus of e of ine of (2 multiply by x) squared
- arc co sinus of e of ine of (two multiply by x) to the power of two
- acos(2*x)2
- acos2*x2
- acos(2*x)²
- acos(2*x) to the power of 2
- acos(2x)^2
- acos(2x)2
- acos2x2
- acos2x^2
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Similar expressions
- arccos(2*x)^2
Derivative of acos(2*x)^2
The solution
The first derivative
[src]
-4*acos(2*x) ------------- __________ / 2 \/ 1 - 4*x
$$- \frac{4 \operatorname{acos}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}$$
The second derivative
[src]
/ 1 2*x*acos(2*x)\ -8*|--------- + -------------| | 2 3/2| |-1 + 4*x / 2\ | \ \1 - 4*x / /
$$- 8 \left(\frac{2 x \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{1}{4 x^{2} - 1}\right)$$
The third derivative
[src]
/ 2 \ | acos(2*x) 6*x 12*x *acos(2*x)| 16*|- ------------- + ------------ - ---------------| | 3/2 2 5/2 | | / 2\ / 2\ / 2\ | \ \1 - 4*x / \-1 + 4*x / \1 - 4*x / /
$$16 \left(- \frac{12 x^{2} \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{6 x}{\left(4 x^{2} - 1\right)^{2}} - \frac{\operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right)$$