The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. f(x)=−5x2 The curvature function is κ(x)=nothing.

K(x) =      ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) =

first Determine the value of F'(x)

F'(x) =

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) =

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  

 K(x) =      ( curvature function)

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