Reflection of Mathematical Content

After that, Mr. Marsigit showed mathematical content for us. There were four content. The content were Derivative, Limit by inspection, Integer and angle.

The first content was about derivative  :
In Calculus, a branch of mathematics,the derivative is a measure of how a function changes as its input changes.
We must learn about Derivative notation before we will learn about derivative.
The derivative is f prim of x slashy dot thing = f’(x) or y’ or dy/dx.
Derivative is slope of tangent line at point (x, f(x)) ((x+h),f(x+h)), h is change of x.Then Slope is (change in y)/(change of x)=(y2-y1)/(x2-x1)= raise/run
Definition of derivative
F’(x)= lim h→0 (f(x+h)-f(x))/h
But, there is an easy formula of deritative :
f(x)= x^n
f’(x)= n.x^n-1



The second content was about limit by inspectation :
Limit by inspectation are :
1.x goes to positive or negative
2.Polynomial
To determine the limit, look at power of x.
If the highest power of x is on numerator. The limit will be ∞.
If the highest power of x is on denominator.The limit will be 0.
If the highest power of denominator is equal with highest power of numerator, the limit will be proportion of coefficient.

The third content was about integer :
Definition of integer : The integer is a whole numbers, not decimal or fractional numbers. There are positive integer and negative integer.
The positive integer is the number is greater than zero or in the line number, its place in the right side from zero.
The negative integer is the number is less than zero or in the line number,  its place in the left side from zero.
We must know that digits is from zero to nine. We must also know about place of number. The place of number are unit number, teens number, hundred number, thousand number,etc.

The last content was about angle :
The corner point of an angle is vertex.
Two straight sides are called arm.
The angle is amount of turn between each arm.
Two angle is congruent if the value of angle is equal each other.
There are some types of angle. The types are
Acute angle, an angle that is  less than 90 degree.
Right angle, an angle that is 90 degree exactly.
Straight  angle, an  angle that 180 degree exactly.
Obtuse angle, angle that is greater than 90 degree but  less than 180 degree.
Adjacent angle, two angles is adjacent if they have common side and common vertex.
Complementary angle,  Complementary angle is angles that add up to 90 degree.
Supplementary angle, Supplementary angle is angles that add up to 180 degree.
Vertical angles is two angles that occur opposite each other.
Angle bisector is a ray that splits an angle be two congruent.
Perpendicular lines are intersecting lines that from right angles.