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Tag: trig derivatives

calculus

Calculus: why the derivative of tanx is (secx)^2

Jack May 6, 2024 Tagged with derivative, quotient rule, trig derivatives, verifying differentiation formula

Tutoring calculus, everyday formulas students count on can often be verified. The tutor mentions the derivative of tanx. It’s true that (tanx)’ = (secx)^2. But why? Realizing tanx = sinx/cosx, then using the the quotient rule (u/v)’ = (vu’ – …

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