 # Calculus 1 – DIFFERENTIATION ### Improve Competence with MyMathsHero

The instantaneous rate of change of a function with respect to one of its variables. This is equivalent to finding the slope of the tangent line to the function at a point. It is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

In this topic, we cover the following: Gradient of a curve, gradient function, differentiation coefficient, dy/dx, rules of differentiation, application of differential calculus, reverse of differentiation. At the end of this topic, students should understand the following among other things:

• Find the gradient function of a simple quadratic curve and hence find the gradient of the curve at a given point,
• Apply different calculus to determine: rates of change including gradients, velocity and acceleration; turning points on a curve and curve sketching,
• Apply the idea of limits to determine dy/dx, the different coefficient of y with respect to x,
• Differentiate polynomials and use the chain rule, and the product quotient rules to differentiate complex algebraic expressions,
• Determine the equation of a line, or curve, given its gradient function,
• Use inverse of differentiation to find the general solutions of simple differential equations,
1
SS 3-DIFFERENTIATION-LESSON 1A
34 Minutes
2
SS 3-DIFFERENTIATION-LESSON 1B
11 Minutes
3
SS 3-DIFFERENTIATION-LESSON 2A
21 Minutes
4
SS 3-DIFFERENTIATION-LESSON 2B
19 Minutes
5
SS 3-DIFFERENTIATION-LESSON 3A
29 Minutes
6
SS 3-DIFFERENTIATION-LESSON 3B
12 Minutes
7
SS 3-DIFFERENTIATION-LESSON 4A
23 Minutes
8
SS 3-DIFFERENTIATION-LESSON 4B
21 Minutes
9
SS 3-DIFFERENTIATION-LESSON 5A
27 Minutes
10
SS 3-DIFFERENTIATION-LESSON 5B
13 Minutes

### REVISION LESSON-SOLVED EXAM QUESTIONS (THEORY)

1
Topic 18- CALCULUS- (DIFFERENTIATION
2 Minutes
2
Topic 18- CALCULUS- (DIFFERENTIATION
1 Minute
3
Topic 18- CALCULUS- (DIFFERENTIATION
1 Minute
4
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 324)
1 Minute
5
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 325)
4 Minutes
6
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 326)
1 Minute
7
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 327)
1 Minute
8
Topic 18- CALCULUS- (DIFFERENTIATION
1 Minute
9
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 329)
8 Minutes
10
Topic 18- CALCULUS- (DIFFERENTIATION
1 Minute
11
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 331)
1 Minute
12
Topic 18- CALCULUS- (DIFFERENTIATION
1 Minute
13
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 333)
1 Minute
14
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 334)
2 Minutes
15
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 335)
1 Minute
16
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 336)
3 Minutes
17
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 337)
1 Minutes
18
Topic 18- CALCULUS- (DIFFERENTIATION
2 Minutes
19
Topic 18- CALCULUS- (DIFFERENTIATION & INTEGRATION)-(Theory Question 339)
2 Minutes
20
Topic 18- CALCULUS- (DIFFERENTIATION
2 Minutes

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