BASIC CALCULUS 11 - MAGAZINE OF DIFFERENTIATION

e n i z a g a M s ' Kid

APRIL 2021 ISSUE

BASIC

CALCULUS LET'S STUDY...

N O I T A I T N E R E F F I D

table of CONTENTS lesson 1

WHAT IS N? O I T A I T N E R DIFFE

lesson 3 POWER RULE

lesson 2

CONSTANT RULE

lesson 4

T N A T S N CO E L U R E L MULTIP

lesson 5

SUM AND DIFFERENCE R ULE

lesson 7 REAL-LIFE APPLICATION OF DIFFERENTIATION

lesson 6 PRODUCT AND QUOTIENT RULE

calculus?

is... what

Calcu

lus is thus t he bra nc

used t o stud y The pu rpo

any ph enom

se of study

h of m athem

ena in volv

ing ca lcul

atics

ing ch ang

e.

us is s imply to uce yo ur min d to t he sci entifi c meth analy od of sis. Th rough scienc e, pra ctical probl can be ems identi fied, e xplan ations gener ated a nd logica l solu tions selec ted. introd

why

? s u l u calc important? is

Like algebra and trigonometry, calculus is one of the most important branches of mathematics for students to learn. After learning calculus skills, students can use their skills to study complex branches of maths such as mathematical analysis.

1 n o s s le

S I T A H W ?

N O I T A I T N E R E F DIF

The operation of differentiation or finding the derivative of a function has the fundamental property of linearity. This property makes taking the derivative easier for functions constructed from the basic elementary functions using the operations of addition and multiplication by a constant number.

The basic differentiation rules allow us to compute the derivatives of such functions without using the formal definition of the derivative.

you should be...

LOGICAL

CRITICAL

COMPASSIONATE

DRIVEN

Life is tough. Education is tough. Careers are tough. But nothing will be done unless you move. Remember, you are capable to handle and conquer tough things.

- Gomez, Paul (2021)

2 n o s les E L U R T N A T S N CO THE DERIVATIVE OF A CONSTANT FUNCTION IS 0, IN SYMBOLS, IF C IS A CONSTANT, THEN...

d [c]=0 dx

e xa m pl e s f(x) = 10 f' (x) = 0

f(x) = 100 f' (x) = 0

f(x) = 4/5 f' (x) = 0

We cannot solve problems with the same thinking we used when we created them.

- Albert Einstein

arithmophobia The fear of numbers. This fear is somewhat unusual in that it encompasses a wide variety of specific phobias, including a generalized fear of all numbers and fear of specific numbers. It is also sometimes called numerophobia.

LESSON 3 POWER RULE if n is any real number, then

INNOVATIVE

d [xn]=nx n-1 dx

A MATHEMATICIAN IS...

ARDENT

FASTSMART

GOAL-ORIENTED TEAMWORK EAGER

Educate yourself from the mistakes you have experienced.

Learning is a process, we all have the same hardships, you can overcome it the same way I did.

- Sabal, Ashley (2021)

EXAMPL ES 1

f(x)=x4

f(x)=4x

3 2

f(x)=x

30

f(x)= 30x29 3

f(x)=x

15

f(x)= 15x

14

LESSON 4 CONSTANT MULTIPLE RULE

k is any real number constant and f is a differentiable function of x, then

d dx

[k.f(x)] = k.

d dx

[f(x)]

MATHEMATICS

IS

FUN!

exam ples examples exam ples xamples xam ples

y= 4x5 4

y' = 4(5x ) 4

y' = 20x

y= 8x3 2

y' = 8(3x ) 2

y' = 24x

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LESSON LESSON 5 5

E L U R E C N E R E F F I D D N A SUM if f & g are two differentiable functions at x, then...

d [f(x) ± g(x)] = dx d d [f(x)] ± [g(x)] dx dx

LESSON LESSON 6 6

e l u r t n e i t o u q d n a t c u prod

if f & g are two differentiable functions of x, then the following rules should be following:

PRODUCT RULE

d [f(x)g(x)]= dx

f(x) g'(x) + g(x) f'(x) QUOTIENT RULE

d f(x) dx g(x)

g(x) f'(x) - f(x) g'(x) [g(x)]

2

I AM

MATH AND I AM

DIVERSE

REAL- LIFE

APPLICATION APPLICATION

OF

N O I T A I T DIFFEREN To calculate the profit and loss in business using graphs.

To check the temperature variation

To determine the speed or distance covered such as miles per hour, kilometre per hour etc.

It could be used in Physical Science Graphing all changes.

BEHIND THE MAGAZINE Marius Vhaugn Baguio Creative Dept.

Thalia Johanna Biso Chief Executive

Dan Ivan Castillo Layout Artist

Keith Ashley Sabal Advertising Committee

Joshua Immanuel Leona Artist / Model

Paul Harley Gomez Artist / Model

SPECIAL THANKS JEALY ROSE

MANSALUDO Calculus Teacher

This magazine would not be completed without the all-out support of the faculty, the staffs, the head, and the guidance of Immaculate Conception Academy City of Dasmariñas. This issue tackles the norms in the society about mathematical concept and how we should embody the traits of a true learner in surpassing these stereotypes. April Issue of 2021 hereby presents what it takes to become an amazing and a phenomenal CALCULUS STAR.

- APRIL ISSUE 2021

Reach out to the Team Marius Vhaugn Jheol Baguio DAN IVAN CASTILLO @marius_vhaugn @AYBANCASTILLO_ 0916-210-8584 0907-076-9128

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