3) The function f(x) = e*(x² + x – 1) has derivatives f'(x) = e*(x² + 3x), f"(x) = e*(x? + 5x + 3), f"(x) = e*(x² +7x + 8) f has a critical point at x = -3. Is that critical point a local maximum, a local minimum, or neither? (Don't forget to justify your answer.) The function f is continuous on [0, 3]. By the Extreme Value Theorem, f has an absolute minimum on this b) interval. Find the x value where it occurs. Explain why the point you found is an absolute minimum. At x =. c) Find the average rate of change of the function f on the interval [0, 3]. VALUE :- (p point guaranteed by the Mean Value Theorem. What is the value of f'(c)? Explain your answer. The function f is continuous on [0, 3] and differentiable on (0,3). Suppose that c in the interval (0, 3) is the
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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