MAT135H1 Lecture Notes - Lecture 20: Implicit Function

• School: UTSG
• Department: Mathematics
• Course: MAT135H1
• Professor: Dimitri Chouchkov

Document Summary

Mat135 - lecture 20 - derivatives of logarithmic functions. Read sections 3. 6 and 3. 7 from the textbook. Recall that d dx e = e . Using implicit differentiation, we can find the derivative of its inverse: ln . For all d dx ln = 1/ d dx ln| | = 1/ . We can compute ln| | = 1/ ( ) by implicit differentiation, namely, take. Ln = ln( ) = ln d dx d dx ( f ( ) g ( ) ) A: ln( sect + tant ) d dt ln( sect + tant ) Using the chain rule method, set up the workflow for computing the derivatives of each function dy dx dy du du: dx. Compute du: dx function(s) according to its corresponding variable ln( sect + tant ) according to 1/ u d dt format as set up above, input the.