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JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Importance and Snapshot of Limits and Derivatives - Study ref# 638

Introduction This Chapter is an introduction to Calculus. Calculus is that branch of mathematics which mainly deals with the study of change in the value of function as the points in the domain change. First, we give an intuitive idea of ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Importance and Snapshot of Limits and Derivatives - Study ref# 639

Following sections must be covered to understand the Limits and Derivatives: 1. Intuitive Idea of Derivatives 2. Limits 3. Limits of Trigonometric Functions 4. Derivatives ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Target Setup for Limits and Derivatives - Study ref# 640

Student requires to achieve the following milestones to get better grip over Limits and Derivatives. The milestones / targets are as follows:-Starting Point: Days 0Test TypeAppear on TestTarget TestsScorePractice Test000%Chapter Test0... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2813

Evaluate the limit: Answer: Let x+1=h When x→0,then h→1 ∴ ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2814

Evaluate the limit: Answer: &n... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2815

Evaluate the limit: Answer: ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2816

Find and , where f(x)= Answer: We have f(x)= At x=0, RHL=LHL=f(0) Here a... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2817

Find , where f(x)= Answer: Given f(x)= At x=1, (Putting x=1+h) ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2818

Suppose and if what are possible values of a and b? Answer: We have At x=1, Given, i.e., RHL=LHL=f(1) &... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2819

If f(x)= ,for what value(s) of a does exist? Answer: f(x)= At x=0, RHL= &... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2820

If f(x)=, For what integers m and n does both and exist? Answer: At x=0 , limit exists Then, RHL=LHL ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2821

For the function .Prove that f′(1)=100f′(0) Answer: Given, f′(x) = (f(... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2822

Find the derivative of for some constant a. Answer: Let y= Differentiating y w.r.t x, ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2823

Find the derivative of the function: Answer: Let y= Differentiating y w.r.t x, we get &nb... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2824

Find the derivative of the function: Answer: Let y= Differentiating y w.r.t x, we get ... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2825

Find the derivative of the function: Answer: Let y= Differentiating y w.r.t x, we get &nb... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2826

If f(x)= , where denotes the greatest integer function, then find Answer: Given, f(x)= At x=0, RHL= &... read more

JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2827

Show that does not exist. Answer: Let f(x)= At x=4, RHL= At x=4,LHL= ∴ At x=4, limit does not exist.... read more