Category Archives: matematik 3c

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

Law of Sine Sinussatsen

Publicerat den februari 19, 2012 av mattelararen

One useful trigonometric formula can be obtained by expressing the area of an arbitrary triangle with sinus.   If one then proceeds to divide through by abc/2 one gets the Sinustheorem. sinA/a = sinB/b= sinC/c which is a relation between the sinus of the angle A … Fortsätt läsa →

Publicerat i matematik 3c | Märkt , | Lämna en kommentar