Let 'f be a continuously differentiable real valued function defined bx + a by f(x) ={ 5x x<1 x21 Then the value of a'b is
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- Determine dimension x to 3 decimal places.It works using the second derivative [ osxs] 1. Find the maximum and minimum limits of the function for the period | f (x)=x-4sin2x+2Find the exact location of all the relative and absolute extrema of the given function. f(x) = x − ln(x) with domain (0, +∞) The variable f has ---Select--- at (x, y) =
- 2. Use the second derivative test to find all local extrema.f(x) = 2sinx + cos2xA function y = f(x) passes through the origin. If the second derivative y" = −sin (2?),determine the equation of the function. Show work to justify your answer. Prove or Disprove: the derivative of y=sinx+cosx/cosx s dy/dx = 1/(1+sinx)(1-sinx)Limit as x approaches 0 1-cos(x)/sin(x)
- True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your solutionfind the value of the constant c that makes the attached function continuous on (-∞, ∞) c =Find all the critical points of function below and use second derivative test to label them f(x,y) = xln(x^2+y^2) Show all work by hand (or typed) and explain every step.
- Pls use limit no differential and could you please do the solution on paper because i am not good at englısh thx :)Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex + e –x ) Make the solution detailed and clear in a sheet of paper.find all relative extrema of thefunction. Use the Second Derivative Test whereapplicable. f(x)=x^{2} e^{-x}