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If f(x)+x^2*(f(x))^3=10 and f(1)=2, then what is f'(1)=? This is a quite common AP calculus type of problem. Even though we do not know the actual function for f(x), we can use implicit differentiation, chain rule, and product rule to solve this question. Get a derivative t-shirt: 👉 https://bit.ly/derivativetshirt The canvas print in the video: All series convergence tests: 👉 https://bit.ly/3GW8EJI Use "WELCOME10" for 10% off Subscribe for more precalculus & calculus tutorials 👉 @just calculus ------------------- If you find this channel helpful and want to support it, then you can join the channel membership and have your name in the video descriptions: 👉https://bit.ly/joinjustcalculus buy a math shirt or a hoodie (10% off with the code "WELCOME10"): 👉 https://bit.ly/bprp_merch I use these markers 👉 https://amzn.to/3skwj1E ------------------- 😊 Thanks to all channel members 😊 Sandglass Dªrksun Seth Morris Andrea Mele --------------------------------------------------------- "Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos 👉 https://bit.ly/just_calc --------------------------------------------------------- Best wishes to you, #justcalculus