1.

Find value of c(a point in a curve where slope of tangent to curve is zero) where
f(x) = ( begin{cases}x^2-x & 0<x<1 3x^3-4x+1 & 1<x<2 end{cases} ), Given c (0,2)

A. 1.5
B. Rolle s Theorem is not applied, because function is not continuous in interval [0,2]
C. Rolle s Theorem is not applied, because function is not differential in interval (0,2)
D. Function is both continuous and differentiable but Rolle s theorem is not applicable as f(0) f(2)
Answer» D. Function is both continuous and differentiable but Rolle s theorem is not applicable as f(0) f(2)


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