Enrich 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)

Extension and enrichment for students who are ready to go deeper: rich tasks, problem solving and open-ended challenges.

Enrichment for this dot point

No enrichment tasks tagged to this exact dot point yet.