Testing for tangent lines
Does the graph of
Have a tangent line at the origin? Give reasons for your answer.
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University Calculus
- In Exercises 27-32, recall that the slope of the tangent line to a graph is given by the derivative of the function. Find the slope of the tangent line to the graph of each equation at the given point. You may wish to use a graphing calculator to support your answers. y=cosx; x=-/4arrow_forwardYOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through the point (1,2).arrow_forwardUsing calculus, find the equation of the tangent line to the function f(x) = 3 cos x when = 2.2. The equation of this tangent line is y Round your numerical values to at least three decimal places. =arrow_forward
- sinhz analytic or not ?arrow_forwardThe approximation sin x - xarrow_forwardFind an equation of the tangent line to the curve at the given point. y = sin(x) + cos(x), (0, 1) Need Help? Read It 14. Find an equation of the tangent line to the curve at the given point. y = e* cos(x) + sin(x), (0, 1) Need Help? Read Itarrow_forward
- Part III. Find the 53rd derivative of sin x. Show your solution. Iarrow_forwardtanî – sinä simplifies to tanx f(x) where f(x) .arrow_forwardUse implicit differentiation to find an equation of the tangent line to the graph at the given point. x + y- 1 = In(x° + y°), (1, 0) y(x) = Need Help? Read Itarrow_forward
- differentiate the functions. Then find an equation of the tangent line at the indicated point on the graph of the function. w = g(z) = 1 + sqrt(4 - z), (z, w) = (3,2)arrow_forwardConsider the function f(x) = cos(x5)Write down the exact value the slope of the tangent line to the graph of f at a point x= a is an element of Rarrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage