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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 ...
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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 ...
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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...
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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 ∴ ...
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JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2814
Evaluate the limit:
Answer: &n...
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JEE-Main - Grade 11 - Mathematics - Limits and Derivatives - Study ref# 2815
Evaluate the limit:
Answer: ...
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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...
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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) ...
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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) &...
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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= &...
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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 ...
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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(...
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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,  ...
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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...
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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
...
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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...
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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= &...
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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....
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