Solved Problems on Differentiation

Hundreds of solved problems at 10+2 level or the final year at school from the topic of differentiation. The aim of the document to help students from different boards (ISC, CBSE and other State Boards) studying at Higher Secondary level to get access to wide variety of problems, that too solved!

This should not be substituted for classroom teaching neither this documents aims to teach the theories of differentiation. Students are requested to go through the theory and the rules before looking at the problems. Any error in the document can be reported at: prime.maths@hotmail.com

First Order Differentiation, Implicit Functions, Parametric Differentiation, Differentiation of Logarithmic Functions, Second Order Differentiation, Chain Rule, Composite functions.

If you have any query, don't forget to comment below.

Click below the links to download the files:

LIMITS Solved Problems on Limits

File 1 Basic Differentiation Problems 

File 2 Derivatives of Logarithmic Functions

File 3 Derivatives of Parametric Equations 

File 4 Long Answer Type ( First Order Mixed Problems)

File 5 Second Order Differentiation 

More solved problems to follow. Keep visiting this space.

Term of a sequence 1,2,2,3,3,3,4,4,4,4....

Can you solve this problem? In #mathematics, a #sequence is an enumerated collection of objects in which repetitions are allowed and order does matter. Like a set, it contains members (also called elements, or terms).
#Solution https://t.me/PrimeMaths/50
#PrimeMaths #Algebra

Gergonne triangle

The Gergonne triangle of triangle ABC is defined by the three touchpoints of the incircle on the three sides. This Gergonne triangle, is also known as the contact triangle or intouch triangle of triangle ABC.

#Solution: https://t.me/PrimeMaths/47

#Geometry #PrimeMaths

Powers of 2

A #Number #Theory gem based on #PigeonHole principle.

Prove that there exist two powers of 2 which differ by a multiple of 2020.

#PrimeMaths #Integers #Divisibility

More Problems for Practice:

Problem 1. Prove that of any 52 integers, two can always be found such that the difference of their squares is divisible by 100.

Problem 2. 15 boys gathered 100 nuts. Prove that some pair of buys gathered an identical number of nuts.

Problem 3. Given 11 different natural numbers, none greater than 20. Prove that two of these can be chosen, on of which divides the other.