In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...

Revise differentiation of algebraic and trigonometric expressions, which can be used for calculating rates of change, stationary points and their nature, or the gradient and equation of a tangent to a ...

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Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...