Ib maths sl derivatives of transcendental functions
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Derivatives of trigonometric functions By the end of the lesson you will be able to: • Find the derivatives and integrals of the trigonometric, exponential and logartihmic functions.
Transcript of Ib maths sl derivatives of transcendental functions
- 1. Derivatives of trigonometric functions Bytheendofthelessonyouwillbeableto: Findthederivativesandintegralsofthe trigonometric,exponentialandlogartihmic functions.
2. http://www.ies.co.jp/math/java/calc/sin_diff/sin_diff.html Derivadadelafuncinseno.ggb Derivadadelafuncincoseno.ggb 3. (sinx)'=cosx Conclusion: f(x)=sinxf'(x)=cosx f(x)=cosxf'(x)=sinx (cosx)'=sinx 4. Findthederivativeof 5. Findthederivativeof 6. Findtheequationofthetangentlineto f(x)=sinx,atx=. 7. Findtheareabetweenthecurvey=sinx andthexaxisfromx=0tox= 8. Findthevalueofkiftheshadedareais1.5u2 9. Derivadadeln(x).ggb derivadadee`^x.ggb 10. With your GDC complete the table for y=lnx x y' 1 2 3 4 10 Can you predict what is the derivative of y=lnx? 11. f(x)=ex f'(x)=ex f(x)=lnxf'(x)= (lnx)'= (ex )'=ex 12. lnx derivative 13. derivative ex e3x derivative 14. Theareaoftheshadedregionis6squareunits. Findtheexactvalueofk. 15. http://www.math.odu.edu/cbii/calcanim/#slope http://www.analyzemath.com/calculus/derivative/derivative_sine.html http://www.ies.co.jp/math/java/calc/sin_diff/sin_diff.html To revise this lesson: 16. Attachments Derivadadelafuncinseno.ggb Derivadadelafuncincoseno.ggb Derivadadelnx.ggb derivadadee`^x2.ggb
