UrbanPro
true

Take Class 12 Tuition from the Best Tutors

  • Affordable fees
  • 1-1 or Group class
  • Flexible Timings
  • Verified Tutors

Search in

Integration of sin x from first principles

P
Pramod .
18/10/2021 0 0

y' = Lt   [f(x+∆x) - f(x)]/∆x

      ∆x => 0

Therefore if y = sin x

y' = Lt  [sin (x + ∆x) - sin x] / ∆x

       ∆x=>0    

y' = Lt [sin x cos ∆x+cos x sin ∆x - sin x]/∆x

     ∆x => 0

=>Lt [ sin x cos ∆x - sin x + cos x sin ∆x]/∆x

   ∆x => 0

=> Lt [ sin x (cos ∆x - 1) + cos x sin ∆x]/ ∆x

    ∆x => 0s

=>sin x Lt(cos ∆x-1)/∆x+cos xLt(sin ∆x/∆x)

              ∆x => 0                         ∆x=> 0

=> sin x • 0 + cos x• 1

=> dy/dx (sin x) = 0 + cos x

=> dy/dx (sin x ) = cos x

 

 

 

[ Lt sin x/x = 1 ] & Lt (cos x - 1)/x = 1-1 = 0]

    x => 0                      x => 0

 

 

 

 

 

 

 

 

 

 

0 Dislike
Follow 1

Please Enter a comment

Submit

Other Lessons for You

What Are The Depository Institutions?
The Depository Institutions comprises of all the commercial banks (or simply banks), savings and loan associations, saving banks and credit Unions. Thus all the financial intermediaries that accept deposits...


Nature and Significance of Principles of Management-HSC | Class 12
OC/OCM, Business Studies - Nature of Principles of Management | Significance of Principles of Management


5 Tips For College Students
Here are 5 tips to help the college students to create a productive & memorable college experience: (1) Answer the question ," Why am I going to college?" : Many college students really don't have...
A

Looking for Class 12 Tuition ?

Learn from Best Tutors on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you
X

Looking for Class 12 Tuition Classes?

The best tutors for Class 12 Tuition Classes are on UrbanPro

  • Select the best Tutor
  • Book & Attend a Free Demo
  • Pay and start Learning

Take Class 12 Tuition with the Best Tutors

The best Tutors for Class 12 Tuition Classes are on UrbanPro

This website uses cookies

We use cookies to improve user experience. Choose what cookies you allow us to use. You can read more about our Cookie Policy in our Privacy Policy

Accept All
Decline All

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 55 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 7.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more