What is a Derivative Deriving the Power Rule

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After discussing differentiation at great length, it is time to connect this concept with the act of taking the derivative of a function. In actuality these mean the same thing, but using the power rule to take the derivative of a function is actually much simpler than all that business with limits and tangent lines! But it is important to know what the power rule is and where it comes from, so let's derive it together. This way, when you take the derivatives of functions, you'll know exactly what is really happening. • Watch the whole Calculus playlist: http://bit.ly/ProfDaveCalculus • Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath • Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 • Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 • General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem • Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem • Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem • Biology Tutorials: http://bit.ly/ProfDaveBio • EMAIL► [email protected] • PATREON► / professordaveexplains • Check out Is This Wi-Fi Organic? , my book on disarming pseudoscience! • Amazon: https://amzn.to/2HtNpVH • Bookshop: https://bit.ly/39cKADM • Barnes and Noble: https://bit.ly/3pUjmrn • Book Depository: http://bit.ly/3aOVDlT

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