Featured Posts
Mathematics Lab Manual Class X lab activities for class 10 with complete observation Tables strictly according to the CBSE syllabus also very useful & helpful for the students and teachers.
Math Assignment Class XI Ch -12 | Derivatives
- Get link
- Other Apps
Math Assignment Class XI Ch - 12
Extra questions of chapter 12 Limits & Derivatives class 11 with answers and hints to the difficult questions, strictly according to the CBSE and DAV syllabus. Important and useful math. assignment for the students of class 11
MATHEMATICS ASSIGNMENT ON
DERIVATIVES (XI)
Strictly according to the CBSE and DAV Board
Question 1: Differentiate the following by first principal
(i) sin 2x (ii) x ex (iii) x2ex (iv) Cos2x (v) x2cosx
Question 2 : Using first principle find the derivative of x sinx
Ans: x cosx + sinx
Question 3 : Find the derivative of sin2x w.r.t. x, by first principle.
Ans: 2sinxcosx = sin2x
Question 4 : Using first principle find the derivative of sin (x2 + 1).
Ans: 2x cos (x2 + 1)
Question 5 : Find the derivative of cos(5x + 2) w.r.t x by first principle.
Ans: - 5sin(5x + 2
Question 6 : Find the derivative of tan(2x + 3) w.r.t. x, by first principle
Ans: 2sec2(2x + 3)
Question 7 : Find the derivative of tan (ax + b) from the first principle.
Ans: asec2(ax + b)
Question 8 : Find the derivative of f(x) =
Ans:
Question 9 : Find the derivative of f(x) =
Ans:
Ans:
Question 11 : Find the derivative of f(x) =
with respect to x using first principal.
Ans:
Solution hint for this question is given at the end.
Question 12 : Differentiate :
Ans :
Question 13 : Differentiate:
Ans : ax Loga + axa-1.
Question 14 : Differentiate:
Ans : cosx
Question 15 : Differentiate:
Ans : 3x2tanx + x3sec2x
Question 16 : Differentiate:
Ans : 2x sinx logx + x2 cosx logx + x sinx
Question 17 : Differentiate:
Ans : x4ex (5 + x) + x5(6logx + 1)
Question 18 : Differentiate:
Ans :
Question 19 : Differentiate: ![](https://latex.codecogs.com/svg.image?y=\frac{x+e^{x}}{1+logx})
Ans:
Question 20 : Differentiate: ![](https://latex.codecogs.com/svg.image?\frac{sin(x+a)}{cosx})
Ans: cosa.sec2x
Question 21 : If y = xsinx + cosx then find
Ans: 0
Question 22 : Find the derivative of cosx - sinx at x =
Ans:
Question 23 : Find the derivative of
Ans:
Question 24 : Find the derivative of f (x) =
Ans:
Question 25 : Differentiate:
Question 26 : Differentiate:
Question 27 : Differentiate:
Question 28 : Differentiate : y =
Question 29 : If
, then find
at x = 0
Answer: cos 9o
Question 30 : If
, then prove that
Question 31 :
If f(x) = kx2 -5x +4 and f’(3) = 37, find the value of k.
Answer k = 7
******************************************
SOLUTION HINT
*****************************************
Formula to find the derivative by using first principal
Product Rule to find the derivative
Quotient rule to find the derivative
Solution Hint Q11
Now by definition of first principle, we have
Applying CD formula here, we get
Putting the limit in the first cos function we get
Rationalizing the numerator of the angle of sine function, we get
Simplify the above equation we get
Now making the denominator similar to the angle of the sine function, we get
Taking limit and applying the formula
, we get
THANKS FOR YOUR VISIT
PLEASE COMMENT BELOW
- Get link
- Other Apps
Breaking News
Popular Post on this Blog
Lesson Plan Maths Class 10 | For Mathematics Teacher
E-LESSON PLANNING FOR MATHEMATICS TEACHER CLASS 10TH lesson plan for maths class X cbse, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths class X, lesson plan for mathematics grade X, lesson plan for maths teacher in B.Ed. RESOURCE CENTRE MATHEMATICS LESSON PLAN (Mathematics) : CLASS 10 th Techniques of Making E-Lesson Plan : Click Here Click Here For Essential Components of Making Lesson Plan Chapter 1 : Number System
Lesson Plan Math Class X (Ch-8) | Trigonometry
E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10 lesson plan for maths class 10 chapter 8 & 9 Trigonometry and application of trigonometry, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths in B.Ed. TEACHER : DINESH KUMAR SCHOOL : RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR SUBJECT : MATHEMATICS CLASS : X STANDARD BOARD : CBSE LESSON TOPIC / TITLE : CHAPTER 8 & 9: Trigonometry and applications of trigonometry ESTIMATED DURATION: This lesson is divided into eight modules and it is completed in 15 class meetings. PRE- REQUISITE KNOWLEDGE:- Concept of right angled triangle, Pythagoras theorem, Algebraic Identities.
Lesson Plan Math Class X (Ch-7) | Coordinate Geometry
E- LESSON PLAN SUBJECT MATHEMATICS CLASS 10 lesson plan for maths class X chapter 7 coordinate geometry, lesson plans for mathematics teachers, Method to write lesson plan for maths class 10, lesson plan for maths class X, lesson plan for mathematics grade X, lesson plan for maths teacher in B.Ed. TEACHER'S NAME : Dinesh Kumar SCHOOL : RMB DAV CENTENARY PUBLIC SCHOOL NAWANSHAHR SUBJECT : MATHEMATICS CLASS : X STANDARD BOARD : CBSE LESSON TOPIC / TITLE : CHAPTER 07: COORDINATE GEOMETRY ESTIMATED DURATION: This chapter is divided into EIGHT modules and it is completed in TWENTY class meetings. PRE- REQUISITE KNOWLEDGE:- Knowledge of coordinate geometry class 9 th . Properties of different types of quadrilaterals chapter 8 class 9th .
Comments
Post a Comment