Differential Calculus Course | Differentiation & Derivatives

Master differentiation with our comprehensive calculus course. Step-by-step lessons cover differentiating polynomials, trig, exponential, logarithmic and composite functions. Apply derivatives to find tangents, rates of change, optimizations and kinematics problems. Explore advanced concepts like limits, continuity, the mean value theorem and graphical analysis of functions. Strengthen your skills with practice problems.

Differential Calculus Course Lessons
Videos 🎥 + Worksheets ✏️

SECTION 1: DIFFERENTIATION
9 Lessons
- 0.WHY DIFFERENTIATION
  Preview
- 1.GRADIENT OF A CURVE
  Preview
- 2.DIFFERENTIATING POWER FUNCTIONS
  Start
- 3.DIFFERENTIATING COMPOSITE FUNCTIONS
  Start
- 4.DIFFERENTIATING TRIG FUNCTIONS
  Start
- 5.DIFFERENTIATING EXP AND LOG FUNCTIONS
  Start
- 6.DIFFERENTIATING RECIPROCAL AND INVERSE FUNCTIONS
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- 7.PRODUCT AND QUOTIENT RULE
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- 8.DIFFERENTIATING PARAMETRIC FUNCTIONS
  Start
SECTION 2: USING DERIVATIVES
8 Lessons
- 0.WHY USE DERIVATIVES
  Preview
- 1.STATIONARY POINTS
  Start
- 2.TANGENTS AND NORMALS
  Start
- 3.RATES OF CHANGE
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- 4.RELATED RATES OF CHANGE
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- 5.OPTIMISATION
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- 6.IMPLICIT DIFFERENTIATION
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- 7.KINEMATICS
  Start
SECTION 3: ADVANCED CONCEPTS
8 Lessons
- 0.WHY ADVANCED CONCEPTS
  Preview
- 1.CONTINUITY AND DIFFERENTIABILITY
  Start
- 2. DIFFERENTIATION BY FIRST PRINCIPLES
  Start
- 3.LIMITS AND L-HOPITAL RULE
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- 4.MEAN VALUE THEOREM
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- 5.GRADIENT FUNCTION
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- 6.INFLECTION AND CONCAVITY
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- 7.FEATURES OF A GRAPH
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"I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course"

Q. C. - Year 12 Student

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