" (x) "x(x+3)e^(-x/2)" on "[-3,0]

verify Rolle's theorem for the function f(x)=x(x+3)e^(-x/2) in [-3,0]

Verify Rolle's theorem for the function f(x)=x(x+3)e^(-x/2) in [-3,0].

Verify Rolle's theorem for the following functions in the given intervals and find a point (or point) in the interval where the derivative vanishes : f(x) = x (x+3) e^(-x/2) in [-3,0]

verify Rolle's theorem for the function f(x)=x(x+3)e^(-(x)/(2))in[-3,0]

Verify the Rolle's theorem for each of the function in following questions: f(x)= x(x+3).e^(-(x)/(2)), "in" x in [-3, 0]

Show that there lies a point on the curve f(x)=x(x+3)e^(-pi/2),-3lexle0 where tangent drawn is parallel to the x-axis.

Show that there lies a point on the curve f(x)=x(x+3)e^(pi/2),-3lexle0 where tangent drawn is parallel to the x-axis.

f(x) {:((e^(5x)-e^(3x))/(sin2x)", if "x!=0),(=1", if "x=0):}} at x = 0 is ,