tag:blogger.com,1999:blog-7806043650549721218.post1333053490301797779..comments2023-10-04T11:59:44.272-05:00Comments on EPSILON-DELTA: The Chain Rule was harder than I thoughtRebecka Petersonhttp://www.blogger.com/profile/12227797437296056645noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-7806043650549721218.post-34007017738708646172022-07-04T07:08:34.954-05:002022-07-04T07:08:34.954-05:00Karnataka Secondary Education Examination Board (K...Karnataka Secondary Education Examination Board (KSEEB) Ready to Prepare new Syllabus for Karnataka 6th, 7th, 8th, 9th, 10th Class in Kannada, English Medium All Subject, KSEEB Every Year Conducted 6th, 7th, 8th, 9th, 10th Class Final Exam Month of March for 10th Exam After Conducted High Schools Exam in Month of April, Karnataka 6th, 7th, 8th, 9th, 10th Class Exam date Sheet 2023 available at Official Website, <a href="https://10thmodelpaper.in/karnataka-6th-7th-8th-9th-10th-syllabus/" rel="nofollow">KSEEB 6th Class Syllabus</a> KSEEB Regulates and Supervises the System of Secondary Education in Karnataka State, It Executes and Governs Various Activities that include Devising of Courses of Study, Prescribing Syllabus.KSEEB 6th Class Syllabushttps://10thmodelpaper.in/karnataka-6th-7th-8th-9th-10th-syllabus/KSEEB 6th Class Syllabusnoreply@blogger.comtag:blogger.com,1999:blog-7806043650549721218.post-21693847291116154082012-07-15T16:38:03.178-05:002012-07-15T16:38:03.178-05:00I know...it was hard for me to believe, too. I as...I know...it was hard for me to believe, too. I assumed students in calculus would understand that cos is meaningless without an argument or that ln doesn't mean a thing by itself. Just goes to show--never assume!Rebecka Petersonhttps://www.blogger.com/profile/12227797437296056645noreply@blogger.comtag:blogger.com,1999:blog-7806043650549721218.post-21558889591374414362012-07-15T13:06:24.223-05:002012-07-15T13:06:24.223-05:00Damn... that's hard to believe since I study f...Damn... that's hard to believe since I study further maths (basically an extra subject in the UK so we can do even more maths!) and everyone just "gets it" :p. It could be that they are seeing cos as a constant, or maybe they're thinking there's a trig identity they can use. As for the product rule, it might help to tell them that you need two expressions that are being multiplied and both should involve the independent variable. In any case, it doesn't hurt to quickly go over functions with them.<br /><br />Even if they're still a little unsure, practice makes perfect.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7806043650549721218.post-84339195671555702232012-07-13T16:11:59.745-05:002012-07-13T16:11:59.745-05:00I totally agree--it should be easy. Unfortunately...I totally agree--it should be easy. Unfortunately, many of my students still struggle with recognizing composition functions as such. For example, when asked what rule to use to differentiate the function f(x)=ln(3x+5), the response was the Product Rule. Similarly, for expressions such as x+xcos(2x), students have asked why we can't factor out the x in the argument. It seems (to me) that they think trig functions and log functions can be treated as constants.<br /><br />I really like the idea of presenting the "inside" function as an expression that involves the independent variable. I am certainly going to try it! Many thanks!Rebecka Petersonhttps://www.blogger.com/profile/12227797437296056645noreply@blogger.comtag:blogger.com,1999:blog-7806043650549721218.post-80272262512143538102012-07-12T12:02:13.478-05:002012-07-12T12:02:13.478-05:00You always want to substitute an expression that i...You always want to substitute an expression that involves 'x' (or whatever variable you're differentiating with respect to), so with e^(5x-1), it can't be e.<br /><br />The expression you're substituting should be thought of as an argument to some function. It's just a matter of identifying that function. If you can identify trigonometric functions, power functions, the exponential function and so on, it should be easy.Anonymousnoreply@blogger.com