Revision Cf Continuity

JEE Mains 2020 - 30 Days Revision | Limit, Continuity and Differentiability-Most Important Questions

Quick Revision - Limits, Continuity and Differentiability

Class 12 Maths | Chapter 5 | Continuity and Differentiability | Important Questions | Quick Revision

Present Tense Revision Questions|Past Tense|Past Continuous Tense|Past Perfect Tense|Past Perfect Continuous Tense|Questions

Present Tense Revision Questions|Past Tense|Past Continuous Tense|Past Perfect Tense|Past Perfect Continuous Tense|Questions

Present Tense Revision Questions|Past Tense|Past Continuous Tense|Past Perfect Tense|Past Perfect Continuous Tense|Questions

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If f is a continuous function on [0,1], differentiable in (0, 1) such that f(1)=0, then there exists some c in (0,1) such that cf^(prime)(c)-f(c)=0 cf^(prime)(c)+cf(c)=0 f^(prime)(c)-cf(c)=0 cf^(prime)(c)+f(c)=0

Let f be continuous on [a,b],a>0, and differentiable on (a,b). Prove that there exists c in(a,b) such that (bf(a,b))/(b-a)=f(c)-cf'(c)