(a) Let f(x) = ax + br² + cr + d. Find a, b, c, d such that ƒ has a local maximum at (0, --6) and a local minimum at (1,8). The Find the intervals of increase and

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
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(a) Let f(x) = ar¹ + bx² + cx + d. Find a, b, c, d such that ƒ has a local maximum at (0, -6) and a local
minimum at (1, 8).
W
(b) Find the intervals of increase and decrease, and any local extrema for the following functions:
0) f(x)=√x(x − 1)
(1) f(x) = x³ (x − 1)ª
Transcribed Image Text:(a) Let f(x) = ar¹ + bx² + cx + d. Find a, b, c, d such that ƒ has a local maximum at (0, -6) and a local minimum at (1, 8). W (b) Find the intervals of increase and decrease, and any local extrema for the following functions: 0) f(x)=√x(x − 1) (1) f(x) = x³ (x − 1)ª
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