Answer to Question #265354 in Calculus for Wanie

Question #265354

the equation of a curve is given as f(x)= sqrt 2x-1, find the equation of the tangent line to the graph of f(x) at x=5


1
Expert's answer
2021-11-16T11:24:10-0500

"y=\\sqrt{2x-1}"

"y(5)=\\sqrt{10-1}=3"

"y'=\\frac{1}{\\sqrt{2x-1}}"

"y'(5)=\\frac{1}{\\sqrt{10-1}}=\\frac{1}{3}"

Tangent line: "y-3=\\frac{1}{3}(x-5)" or "y=\\frac{1}{3}x+\\frac{4}{3}"


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