UPSEE: Important Questions and Preparation Tips – Continuity and Differentiability

Dec 28, 2017, 14:51 IST

This time Subject Experts of Mathematics at Jagranjosh come up with the complete chapter notes of Continuity and Differentiability including important topics like continuous functions, differentiable functions, chain rule, Rolle's theorem, Mean value theorem etc for UPSEE/UPTU entrance examination 2018. About 1-2 questions are being asked from this chapter in the examination.

UPSEE/UPTU 2018: Continuity and Differentiability
UPSEE/UPTU 2018: Continuity and Differentiability

The topic “Continuity and Differentiability” is a very important part of Mathematics in the syllabus of any engineering entrance examination. But it is impossible for aspirants to learn this topic without knowing the concept of “Limits”. Before staring the topic “Continuity and Differentiability”, engineering aspirants should get familiar with the concept of “Limits”.

In this article, we bring to you the chapter notes of chapter Continuity and Differentiability including important concepts, formulae and some previous year solved questions for coming UPSEE/UPTU entrance examination 2018.

These notes are prepared by Subject Experts of Mathematics including all important topics related to chapter Continuity and Differentiability like continuous functions, sum, difference, product and quotient of continuous functions, differentiable functions, chain rule, derivative of some functions, logarithmic differentiation, Rolle's theorem, Mean value theorem etc.

With the help of previous year solved questions, UPSEE aspirants can easily know the difficulty level of the questions which can be asked in the coming UPSEE/UPTU entrance examination 2018.

UPSEE: Important Questions and Preparation Tips – Limits

Important Concepts:

UPSEE Continuity and Differentiability Concepts 1

UPSEE: Important Questions and Preparation Tips – Integrals

UPSEE Continuity and Differentiability Concepts 2

UPSEE Continuity and Differentiability Concepts 3

UPSEE: Important Questions and Preparation Tips – Parabola

Some previous year solved questions are given below:

Question 1:

UPSEE Continuity and Differentiability Q1

Solution 1:

UPSEE Continuity and Differentiability S1

Hence, the correct option is (B).

UPSEE: Important Questions and Preparation Tips – Differential Equations

Question 2:

UPSEE Continuity and Differentiability Q5

Solution 2:

UPSEE Continuity and Differentiability S5

Hence, the correct option is (d).

UPSEE: Important Questions and Preparation Tips – Circles

Question 3:

UPSEE Continuity and Differentiability Q2

Solution 3:

UPSEE Continuity and Differentiability S2

Hence, the correct option is (c).

UPSEE: Important Questions and Preparation Tips – Application of Derivatives

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