Write the second derivative with respect to x for each function. Homework Help ✎
y = (x – 10)2
This is the equation of a parabola. The 2nd derivative represents the concavity of the original equation.
Is y = (x −10)² concave up, concave down or neither?
g(x) = –5x + 10
g(x) is a linear equation.
g ''(x) represents its concavity.
Is a straight line concave up, concave down or neither?
y = 5x8 – 3x–8
Use the Power Rule.