Find the equation of the tangent line for y=x+1x​​ at the point (4,0.4). To find the equation of the tangent line you ne

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Find The Equation Of The Tangent Line For Y X 1x At The Point 4 0 4 To Find The Equation Of The Tangent Line You Ne 1 (89.96 KiB) Viewed 14 times

Find the equation of the tangent line for y=x+1x​​ at the point (4,0.4). To find the equation of the tangent line you need to know a point and the slope. To find the slope of the of the tangent you need to find of y. To find the derivative of y you would use the , which states that Using the quotient rule, y′= (rewrite the square root using rational exponent and do not simplify y′.) Simplifying, y′= The slope of the tangent line at x=4 is The equation of the tangent line in point-slope form is The equation of the tangent line in slope intercept form is y=