Support · Mathematics Extension 1 11–12 – Year 12 · Further calculus skills

Support Use the chain rule to show that d/dx(sin^(- 1)⁡f(x)) = (f^'(x))/√(1 - (f(x))²), d/dx(cos^(- 1)⁡f(x)) = - (f^'(x))/√(1 - (f(x))²) = - d/dx(sin^(- 1)⁡f(x)) and d/dx(tan^(- 1)⁡f(x)) = (f^'(x))/(1 + (f(x))²) and apply the results to solve problems involving derivatives of sin^(- 1)⁡f(x), cos^(- 1)⁡f(x) and tan^(- 1)⁡f(x)

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

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Prerequisite dot points