Finding the Derivative of a Square Root Function Using Definition of a Derivative











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In this video we compute the derivative of a square root function, namely f(x) = sqrt (2x + 1) by using the definition of a derivative. We could use the power rule along with the chain rule as well of course, but this what one is often asked in the beginning of a calculus course. • Note that to help simplify the expression for the derivative, we will make use of the conjugate, a common technique to help simplify these types of expressions with square roots. • • • • • • • • • • • #math, #algebra, #khanacademy, #khan, #geometry, #education, #montessori, #calculus, #homeschooling, #functions, #notation, #organicchemistry, #organicchemistrytutor, #calculus, #derivative, #powerrule, #limits, #limit, #graph, #graphing, #conjugate, #infinity, #patrickjmt, #rational, #shortcut, #trick, #commondenominator, #fraction, #university, #admissions, #test #continuity #onesided #infinite #absolutevalue #tangents #tangentsandnormals #tangentline #definition #hindi #india

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