Search Colleges, Courses, Exams, Questions and Articles

Ask a query on 8879100846 Ask Login | Sign Up

 

 
› Tags › Differentiation Formulas

Differentiation Formulas

Follow Ask Question
1

Questions

0

Discussions

1

Active Users

0

Followers

New answer posted

2 months ago

Differentiation Formulas Class 12th

If the tangent to the curve y = x + siny at a point (a,b) is parallel to the line joining (0, 3/2) and (1/2, 2), then:
0 Follower 3 Views

V
Vishal Baghel

Contributor-Level 10

Slope of tangent to the curve y=x+siny
at (a, b) is (a-2)/ (b-3)=1
⇒ dy/dx|x=a = 1
dy/dx = 1+cos y dy/dx (from equation of curve)
⇒ dy/dx|x=a and y=b = 1+cosb=1
⇒ cosb=0
⇒ sinb=±1
Now, from curve y=x+siny
b=a+sinb
⇒ |b-a|=|sinb|=1

    Get authentic answers from experts, students and alumni that you won't find anywhere else

    Sign Up on Shiksha

    On Shiksha, get access to

    • 65k Colleges
    • 1.2k Exams
    • 682k Reviews
    • 1800k Answers

    Share Your College Life Experience

    Write a Review
    Community GuidelinesUser Points System
    QuestionsDiscussionsTags

    ×
    ×

    This website uses Cookies and related technologies for the site to function correctly and securely, improve & personalise your browsing experience, analyse traffic, and support our marketing efforts and serve the Core Purpose. By continuing to browse the site, you agree to Privacy Policy and Cookie Policy.