Let f(x)= cases x^3-x^2+10x-5, & x 1 -2x+ _2(b^2-2), & x>1 cases Find the values of…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

f(x)=\begin{cases} x^3-x^2+10x-5, & x\le 1\\ -2x+\log_2(b^2-2), & x>1 \end{cases}

Find the values of

b

for which

f(x)

has the greatest value at

x=1