Calculus - 1

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Limits

How do we define Limits of a function?

#Differential Calculus
Q1

Find the value of given limit.

#Basic
Q2

Find the value of given limit.

#Basic
Q3

Find the value of given limit.

#Basic
Derivatives

Definition of differentiation of a function.

#Functions
Rules for Derivatives - 1

Different rules to find Differentiation of a function.

#Differential Calculus
Q4

Find the derivative of given function.

#Basic
Q5

Find the derivative of given function.

#Basic
Q6

Differentiate the given function w.r.t x.

#Basic
Q7

Find the slope of the tangent on given curve at (-1, 2).

#Basic
Q8

What is the slope of tangent to given curves at x=0?

#Basic
Q9

Find derivative of given function using product rule.

#Basic
Q10

Find dy/dx_ for the given function.

#Basic
Q11

Calculate rate of increase of area after 5 seconds.

#Basic
Rules for Derivatives - 2

Other rules to find Differentiation of a function.

#Differential Calculus
Q12

Find the derivative of given functions wrt x.

#Basic
Q13

Find dy/dx_ for the given function.

#Basic
Q14

Find dy/dt for the given function.

#Basic
Q15

Find dy/dx_ for the given function.

#Basic
Q16

Find the derivative of given function.

#Basic
Q17

Find dy/dx_ for the given function.

#Basic
Q18

At what rate is the area increasing when the side of the square is 6 m?

#Basic
Q19

Find dy/dx_ for the given functions of t.

#Basic
Q20

Find dy/dx_ for the given function.

#Basic
Q21

Find the rate at which height of water level rises when the height is h.

#Basic
Q22

Find derivative of given function.

#Basic
Q23

Find derivative of given function.

#Basic
Second Derivatives

How to find second derivative of functions?

#Differential Calculus
Q24

Find second derivative of given function.

#Basic
Q25

Find second derivative of given function.

#Basic
Q26

Find second derivative of given function.

#Basic
Q27

Find second derivative of given function.

#Basic
Maxima and Minima

How to find maximas and minimas of functions using second derivative?

#Differential Calculus
Q28

Find the x_coordinates of maxima and minima of the function.

#Basic
Q29

Find the x_coordinates of maxima and minima of the function.

#Basic
Q30

Find the x_coordinates of maxima and minima of the function.

#Basic
Q31

Find the coordinates of vertex of given parabola.

#Basic
Q32

Find the time at which x is minimum.

#Basic
Q33

Find the time taken in reaching maximum height.

#Basic
Q34

Divide 1000 in two parts such that their product is maximum.

#Basic
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