Step 2 of 3We must now find the slope of the tangent line at the point of tangency, (1, In 2), by calculating the derivativeof s(t) and evaluating the derivative at t = 1.Recall the derivative of lIn x.1dIn x =dxUse the chain rule to find s'(t).s(t) = In(8 – 6t)s'(t)dt8 - 6tdtEvaluate s'(1).s'(1)SubmitSkip (you cannot come back) Tutorial ExerciseFind an equation of the tangent line at the point indicate.s(t) = In(8 6t),t = 1.Step 1 of 3Recall that a tangent line to a graph of y = f(x) at a point P(a, f(a)) is the line through the point P of slope ff(a) =(af '(a)The equation of the tangent line in point-slope form is y - f(a)f '(a) (x - a).To find the equation of the tangent line to the graph of s(t) = In(8 6t), we will need to find the slope of thetangent line to the graph of s(t) at the point (1, s(1)).Find s(1).s(1) = In(8 – 6(1)) = |In(2)In(2)(1, In(2)1, In(2)Therefore, the point of tangency is (t, s(t)) = (1, s(1)) =

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Description: Step 2 of 3We must now find the slope of the tangent line at the point of tangency, (1, In 2), by calculating the derivativeof s(t) and evaluating the derivative at t = 1.Recall the derivative of lIn x.1dIn x =dxUse the chain rule to find s'(t).s(t)

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We must now find the slope of the tangent line at the point of tangency, (1, In 2), by aun buneinɔ of s(t) and evaluating the derivative at t = 1. Recall the derivative of In x. In x = dx Use the chain rule to find s'(t). s(t) = In(8 - 6t) s'(t) = dt 1 %3D 8 - 6t %3D Evaluate s'(1). s'(1) = Submit Skip (you cannot come back)

We must now find the slope of the tangent line at the point of tangency, (1, In 2), by aun buneinɔ of s(t) and evaluating the derivative at t = 1. Recall the derivative of In x. In x = dx Use the chain rule to find s'(t). s(t) = In(8 - 6t) s'(t) = dt 1 %3D 8 - 6t %3D Evaluate s'(1). s'(1) = Submit Skip (you cannot come back)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 50E

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