https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-6/v/second-derivatives 2024-01-26T05:27:08.622526922Z Second derivatives We dive into the fascinating realm of second derivatives, starting with the function y=6/x². Together, we apply the power rule to find the first derivative, then repeat the process to reveal the second derivative. This journey illuminates how we can use mathematical tools to uncover deeper layers of a function's behavior. video https://cdn.kastatic.org/ka_thumbnails_cache/a896ad89-57fe-4b7e-a995-577292ae712e_1280_720_base.png Second derivatives We dive into the fascinating realm of second derivatives, starting with the function y=6/x². Together, we apply the power rule to find the first derivative, then repeat the process to reveal the second derivative. This journey illuminates how we can use mathematical tools to uncover deeper layers of a function's behavior. https://cdn.kastatic.org/ka-youtube-converted/WC5VYKI807Q.mp4/WC5VYKI807Q.mp4 147 Second order derivatives https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-2-new/ab-3-6/e/second-derivatives 2025-05-05T08:14:25.350149109Z Second derivatives Find second derivatives of various functions. For example, given f(x)=sin(2x), find f''(x). Tomer Gal exercise https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:continuity-and-differentiability-ncert-new/x6f66cbee9a2f805b:second-order-derivatives/v/second-order-derivatives-of-composite-functions 2025-05-22T13:12:03.767544849Z Second order derivatives of composite functions In this video, we learn how to find the second order derivative of composite functions. We first pick sinlogx and then coslogx. For both of these, we find y1 first and then differentiate both sides to find y2. Then, we pick a different function that involves results from these two. We leverage product rule to find the relationship between x, y, y1, and y2. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Second order derivatives of composite functions In this video, we learn how to find the second order derivative of composite functions. We first pick sinlogx and then coslogx. For both of these, we find y1 first and then differentiate both sides to find y2. Then, we pick a different function that involves results from these two. We leverage product rule to find the relationship between x, y, y1, and y2. https://cdn.kastatic.org/ka-youtube-converted/RM_0Ramh2mY.mp4/RM_0Ramh2mY.mp4 470 Second order derivatives https://www.khanacademy.org/math/ka-math-class-12/x6f66cbee9a2f805b:continuity-and-differentiability-ncert-new/x6f66cbee9a2f805b:second-order-derivatives/e/second-order-derivatives-of-composite-functions 2025-08-08T02:45:51.78671331Z Second order derivatives of composite functions Second order derivatives of composite functions Ashish Gupta exercise