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11. Differentiation
11.01 Tangents and the derivative
11.02 Differentiating x^n for integer n
11.03 Differentiating x^n for non-integer n
11.04 Tangents and normals
11.05 Chain rule
11.06 Product rule
11.07 Quotient rule
11.08 Using the first derivative
Lesson
Worksheet
Practice
11.09 Using the second derivative
11.10 Graphing techniques using calculus
11.11 Optimisation problems
11.12 Defining e and the natural logarithm
11.13 Differentiating exponential functions
11.14 Applications of the differentiation of exponential functions
11.15 Differentiating logarithmic functions
11.16 Applications of the differentiation of logarithmic functions
11.17 Differentiating trigonometric functions
11.18 Applications of the differentiation of trigonometric functions
11.19 Differentiating composite functions
11.20 Small increments and approximations
11.21 Kinematics
11.22 Related rates of change
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iGCSE (2021 Edition)

11.08 Using the first derivative

Lesson
Worksheet
Practice
Lesson

Outcomes

0606C14.2

Use the notations f'(x), f''(x), dy/dx, d^2y/dx^2 [=d/dx(dy/dx)].

0606C14.5B

Apply differentiation to stationary points.

0606C14.6

Use the first and second derivative tests to discriminate between maxima and minima.

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