Månadsarkiv: mars 2012

Indefinite integrals

Publicerat den mars 28, 2012 av mattelararen

If you need to calculate the distance travelled when you know the velocity as a function of time , since s'(t) = v(t) you need to be able to perform antiderivation i.e. finding a function whose derivative equals your function. … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 3c, matematik 4 | Märkt , | Lämna en kommentar

Differentiating the natural logarithm, products and quotients

Publicerat den mars 26, 2012 av mattelararen

In order to be able to deduce the derivative of the natural logarithm we resort to using implicit differentiation. Let x= ey(x) Differentiating both sides gives dx/dx = d ey(x)/dx 1=ey(x) dy(x)/dx Solving for dy(x)/dx one obtains dy(x)/dx = 1/ey(x) … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 3c, matematik 4 | Märkt , , | Lämna en kommentar

Pi-day

Publicerat den mars 16, 2012 av mattelararen

March the 14th. has officially been named the international π-day to honour this magical number which equals the ratio of the circmference to the diameter for all circles. http://www.wikihow.com/Celebrate-Pi-Day In 1882 the german mathematician Ferdinand Lindemann showed that pi is … Fortsätt läsa →

Publicerat i Geometri, Gymnasiematematik(high school math) | Lämna en kommentar

Differentiation of the trigonometric functions

Publicerat den mars 9, 2012 av mattelararen

To be able to differentiate the trigonometric functions one needs some standard limits: With the aid of these and the definition of the derivative it is possible to show that f(x)= sin (x) implies  f ‘(x) = cos(x) and f(x) … Fortsätt läsa →

Publicerat i Calculus, Gymnasiematematik(high school math), matematik 4 | Märkt | Lämna en kommentar

Radians and an attempt at squaring the circle

Publicerat den mars 4, 2012 av mattelararen

That one rotation equals 360 degrees is just a convention, There is nothing partcular about 360 except that it can be divided by many numbers. Another, and a more fruitful, approach to measuring angles is to use the length of … Fortsätt läsa →

Publicerat i Geometri, Gymnasiematematik(high school math) | Lämna en kommentar