https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-3-7/v/disguised-derivatives 2026-06-25T15:40:55.094699315Z Exploring disguised derivatives We tackle a complex limit expression, viewing it as 5 times the derivative of log(x) when x=2. This perspective enables us to evaluate the limit using differentiation rules, providing a simpler alternative to direct limit analysis. Together, let's navigate this challenging problem. video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Exploring disguised derivatives We tackle a complex limit expression, viewing it as 5 times the derivative of log(x) when x=2. This perspective enables us to evaluate the limit using differentiation rules, providing a simpler alternative to direct limit analysis. Together, let's navigate this challenging problem. https://cdn.kastatic.org/ka-youtube-converted/fUWn_SJSLBk.mp4/fUWn_SJSLBk.mp4 273 Further practice to connect derivatives and limits https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-3-7/e/disguised-derivatives 2021-04-29T07:51:55Z Disguised derivatives Evaluate limit expressions that describe derivatives of functions. Tomer Gal exercise https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-3-7/v/finding-limits-with-derivatives 2026-06-25T15:40:55.094699315Z Finding limits with derivatives Use the definition of the derivative of a function whose derivative is known to determine a limit. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/d2ed4e3f-73d5-47d8-8e8b-79f4a85c032b_1280_720_base.png Finding limits with derivatives Use the definition of the derivative of a function whose derivative is known to determine a limit. https://cdn.kastatic.org/ka-youtube-converted/aJ55LrZ_Vqw.mp4/aJ55LrZ_Vqw.mp4 133 Further practice to connect derivatives and limits https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-3-7/e/derivatives-that-help-with-finding-limits 2026-06-25T15:40:55.094699315Z Derivatives that help with finding limits Recognizing an expression for the definition of a derivative of a function whose derivative is known offers a strategy for determining a limit Cameron Smith exercise