AS Mathematics HomeWork-Learning Page

Teacher:	Prof. JM	Section:	AS Mathematics Grade 11
Date:	Week	Grade	Grade 11

Learning Objectives	Understand the concept of differentiation and how it relates to the rate of change of a function. Learn how to apply basic differentiation rules such as the power rule, sum rule, and constant rule to differentiate polynomials. Practice differentiating a variety of functions, including those with multiple terms and powers, to build fluency in differentiation techniques.
	Instruction :Show all working in Detail

Resources:Click Here
Student Materials: Name:.......................Grade.................... Differentiation Basic Differentiation Worksheet Question 1: Differentiate the following function: \[ f(x) = 3x^4 + 5x^3 - 2x + 7 \] Question 2: Differentiate the following function: \[ f(x) = 6x^2 - 4x + 8 \] Question 3: Differentiate the following function: \[ f(x) = x^5 - 4x^3 + 2x^2 - 10 \] Question 4: Differentiate the following function: \[ f(x) = 7x^3 - 5x^2 + 3x - 2 \] Question 5: Differentiate the following function: \[ f(x) = 2x^4 + 6x^2 - 9x + 3 \] Question 6: Differentiate the following function: \[ f(x) = 10x^5 - 2x^4 + 4x^2 - 7 \] Question 7: Differentiate the following function: \[ f(x) = 5x^2 - 3x + 12 \] Question 8: Differentiate the following function: \[ f(x) = 8x^4 - x^3 + 6x^2 - 4x \] Question 9: Differentiate the following function: \[ f(x) = x^6 - 7x^4 + 5x^2 - 3 \] Question 10: Differentiate the following function: \[ f(x) = 4x^3 + 9x^2 - 7x + 5 \] Answer Key: Answer 1: \( f'(x) = 12x^3 + 15x^2 - 2 \) Answer 2: \( f'(x) = 12x - 4 \) Answer 3: \( f'(x) = 5x^4 - 12x^2 + 4x \) Answer 4: \( f'(x) = 21x^2 - 10x + 3 \) Answer 5: \( f'(x) = 8x^3 + 12x - 9 \) Answer 6: \( f'(x) = 50x^4 - 8x^3 + 8x \) Answer 7: \( f'(x) = 10x - 3 \) Answer 8: \( f'(x) = 32x^3 - 3x^2 + 12x - 4 \) Answer 9: \( f'(x) = 6x^5 - 28x^3 + 10x \) Answer 10: \( f'(x) = 12x^2 + 18x - 7 \)	Student Materials: Show detailed steps here
Next HomeWork: Click Here

Question 1: Differentiate the following function:

\[ f(x) = 3x^4 + 5x^3 - 2x + 7 \]

Question 2: Differentiate the following function:

\[ f(x) = 6x^2 - 4x + 8 \]

Question 3: Differentiate the following function:

\[ f(x) = x^5 - 4x^3 + 2x^2 - 10 \]

Question 4: Differentiate the following function:

\[ f(x) = 7x^3 - 5x^2 + 3x - 2 \]

Question 5: Differentiate the following function:

\[ f(x) = 2x^4 + 6x^2 - 9x + 3 \]

Question 6: Differentiate the following function:

\[ f(x) = 10x^5 - 2x^4 + 4x^2 - 7 \]

Question 7: Differentiate the following function:

\[ f(x) = 5x^2 - 3x + 12 \]

Question 8: Differentiate the following function:

\[ f(x) = 8x^4 - x^3 + 6x^2 - 4x \]

Question 9: Differentiate the following function:

\[ f(x) = x^6 - 7x^4 + 5x^2 - 3 \]

Question 10: Differentiate the following function:

\[ f(x) = 4x^3 + 9x^2 - 7x + 5 \]

Answer Key:

Answer 1: \( f'(x) = 12x^3 + 15x^2 - 2 \)
Answer 2: \( f'(x) = 12x - 4 \)
Answer 3: \( f'(x) = 5x^4 - 12x^2 + 4x \)
Answer 4: \( f'(x) = 21x^2 - 10x + 3 \)
Answer 5: \( f'(x) = 8x^3 + 12x - 9 \)
Answer 6: \( f'(x) = 50x^4 - 8x^3 + 8x \)
Answer 7: \( f'(x) = 10x - 3 \)
Answer 8: \( f'(x) = 32x^3 - 3x^2 + 12x - 4 \)
Answer 9: \( f'(x) = 6x^5 - 28x^3 + 10x \)
Answer 10: \( f'(x) = 12x^2 + 18x - 7 \)

AS PureMathematics - Homework

HomeWorkBack to HomeWork Page

Differentiation

Name:.......................Grade....................

Differentiation

Basic Differentiation Worksheet

Answer Key:

Show detailed steps here