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99th derivative of cos x - Casio FX-300MS Calculator

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Posted on Jan 02, 2017

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SOURCE: If f(x) = sin x, what is the 99th derivative of

Hello,
Frankly my dear, who wants to compute the 99th derivative of sin(x)?

d/dx(sin(x))= cos(x)
d^2/dx^2 (sin(x))= d/dx( cos(x))=-sin(x)
d^3/dx^3 (sin(x))= -cos(x)
d^4/dx^4 (sin(x))=d/dx(-cos(x))=sinx.
In 100 successive differentiations you perform the foregoing sequence 100/4=25 times, and you end up with sin(x). Hence in the 99th step the derivative was -cos(x).

Hope it helps.

Posted on Oct 21, 2009

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2 Answers

Find the derivitive of sin(cosx)


The 9750GII doesn't have symbolic capabilities so it can't give you a symbolic answer for this. It can evaluate it numerically at any point.

The derivative of sin(cos(x) dx is cos(cos(x))-sin(x).

Oct 08, 2013 | Casio FX-9750GII Graphing Calculator

2 Answers

Derivatives


The derivative of sin(cos(x)) dx is cos(cos(x))-sin(x). Unfortunately the fx-9850GII doesn't do symbolic differentiation so you'll have to get this result some other way. I cheated and used a calculator from another manufacturer, one that does do symbolic differentiation.

Oct 08, 2013 | Casio FX9750GII Graphic Calculator

1 Answer

I try to install software on a ti-89 and the dimension error when I open the program. Faso also commonly when derived from sin (x) the result is not cos (x) more so, 0.017 cos (x)


I do not know the program you installed, so I will skip the part.
As to the derivative of the sine function, your result is correct if the angle unit is degree.
d(sin(x))/dx = cos(x) is true only if the angle unit is the radian. In degrees, you would have a factor Pi/180 which is 0.174532925. I suggest you consult a calculus book to understand where that factor comes from.

Mar 17, 2011 | Texas Instruments TI-89 Calculator

1 Answer

Differentiate each of the following w.r.t.x; 29.sin2xsinx


Use the rule for differentiating products of functions: ()' signifies derivative
(29*sin(2X)*sin(X))'= (29)'*sin(2X)*sin(X) +29* (sin(2X))'*sin(X) +29*sin(2X)*(sin(X))'
But
  1. (29)'=0 derivative of a constant is zero
  2. (sin(2X))'=cos(2X)*(2X)'=2*cos(2X)
  3. (sin(X))'=cos(X)
Result is
(29*sin(2X)*sin(X))'= 29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)

You could also have cast your formula in the form
sin(2X)*sin(X)= 1/2[ cos(2X-X)-cos(2X+X)]=1/2[cos(X)-cos(3X)]
then calculated the derivative of
29/2*[cos(X)-cos(3X)]
which is
29/2*[-si(X) +3*sin(3X)]

The challenge for you is to prove that the two forms are equivalent
29*2*cos(2X)*sin(X)+29*sin(2X)*cos(X)=29/2*[-si(X) +3*sin(3X)]

Jun 21, 2010 | Vivendi Excel@ Mathematics Study Skills...

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Does anyone know how to calculate derivatives using the casio fx-115es? For example: find the derivative of f(x)= 3x^3=3x. Thank you!


hello,
The calculator will calculate the derivative at a point. It will not give you the formula for the derivative, just the derivative at the point you choose.
Sorry, it can ONLY do NUMERICAL differentiations and integrations.

Oct 21, 2009 | Casio FX-115ES Scientific Calculator

1 Answer

If f(x) = sin x, what is the 99th derivative of f(x)?


Hello,
Frankly my dear, who wants to compute the 99th derivative of sin(x)?

d/dx(sin(x))= cos(x)
d^2/dx^2 (sin(x))= d/dx( cos(x))=-sin(x)
d^3/dx^3 (sin(x))= -cos(x)
d^4/dx^4 (sin(x))=d/dx(-cos(x))=sinx.
In 100 successive differentiations you perform the foregoing sequence 100/4=25 times, and you end up with sin(x). Hence in the 99th step the derivative was -cos(x).

Hope it helps.

Oct 20, 2009 | Casio FX-300MS Calculator

1 Answer

Peugeot 406 2.0 HDI 99th,if i breake wit engine its go of


does it return to idle when at 900, this is programmed to shut off fuel injectors when car is pushing engine to save you fuel for when going down a hill, u push clutch and a signal tells it u have which returns back to idle.

Jul 04, 2009 | 1989 Peugeot 405

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