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A series of free Calculus Videos. How to Derive the Derivative Formulas for the Trigonometric Functions: Tangent, Cotangent, Secant, Cosecant, Arctan?

Deriving the Derivative Formulas for Tangent, Cotangent, Secant, Cosecant

Many people memorize these formula but do not really understand where they come from. I show how you just use the derivative formulas for sine and cosine along with the quotient rule and chain rule to derive the rest!

In this video, I show how to derive the derivative formula for y = arctan(x). This is a super useful procedure to remember as this is how many of the inverse derivative formulas are derived! All we need to do is use implicit differentiation and some trig identities.

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