Here, you can either enter the given function f(x) in the top box or
enter its given derivative in the bottom box. We enter f(x) in below’s example.
Then, the derivative f'(x) is computed
and simplified to a more compact expression:
finding its zeros yields the following x values of the critical points.
Since we entered a periodic trigonometric function f(x)
we obtain infinitely many critical points of the format
shown below. Note that n87 represents a constant which
is usually denoted as K in textbooks.
Besides finding critical points, Maximum and Minimum values
you will also be able to find saddle points and inflection points under this menu option.
When entering these 2 vectors using option 1 6 in Vector Calculus Made Easy we will not use the i-j notation and instead use vector /matrix notation as shown in this image . The angle is derived using arccos(AB/|A|*|B|) and given in radian format.
Note: We know that the vectors differ by an angle of pi/2-pi/4=pi/4 or .785 , which also equals 45 degrees.
Engineering Mathematics has become much easier : this Steo by Step Ti-nspire app covers Math Topics for Engineers (i.e. FE Exam) such as Algebra, Complex Numbers, Conics, Trigonometry, Exponential and Logarithmic Functions, Calculus, Differential Equations with LaPlace Transforms, Statistics, Probability, Combinations & Permutations, Matrices and Vectors. Read Definitions & Theories. For more details visit: http://www.tinspireapps.com/?a=EMME