f x x 3 6x 2 9x 1 on the interval 0 4

f x x 3 6x 2 9x 1 on the interval 0 4 Calculus Find the Maximum Minimum Value f x x 3 6x 2 9x f x x3 6x2 9x f x x 3 6 x 2 9 x Find the first derivative of the function Tap for more steps 3x2

Relative Extrema Find all points of relative minima and maxima of y x 3 6x 2 9x 1 We learn how to find the relative minimum and relative maximum of y x Calculus Find the Absolute Max and Min over the Interval f x x 3 6x 2 9x 5 1 6 f x x3 6x2 9x 5 1 6 Find the critical points Tap for more steps 3 5 1 9

f x x 3 6x 2 9x 1 on the interval 0 4

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f x x 3 6x 2 9x 1 on the interval 0 4
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I m trying to find if the function f x x 3 6x 2 9x 1 has a maximum and minimum in the interval 0 5 open interval without using calculus f x x x Explanation Given f x x 3 6x 2 9x 1 f x 3x 2 12x 9 Solving for x where f x 0 3x 2 12x 9 0 Dividing by 3 x 2 4x 3 0 x 2 3x 1x 3 0 x x 3 1 x

F x x3 6x2 9x 2 on the interval 1 4 Answer First we nd the critical points of f To do so take the derivative f0 x 3x2 12x 9 Then f0 x 0 when 0 3x2 12x 9 There are 3 methods for finding the inverse of a function algebraic method graphical method and numerical method What is the inverse of a function The inverse of a

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Use the graphs of f and f to estimate the intervals of increase and decrease extreme values intervals of concavity and inflection points In Exercise 15 use calculus to find these quantities exactly f x x 2 Question Find the absolute maximum and absolute minimum values of f on the given interval f x x 3 6x 2 9x 6 on 1 4 Absolute maximum Absolute minimum There are 4 steps to solve this one Differentiate the

Dxd x 5 3x2 2 Integration 01 xe x2dx Limits x 3lim x2 2x 3x2 9 Solve your math problems using our free math solver with step by step solutions Our math An open interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers but does not include the numbers

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f x x 3 6x 2 9x 1 on the interval 0 4 - When y x 3 6x 2 9x 2 the intervals on which the function increases are given by the solutions to y 0 In order to compute y we ll take the