the function f x 2x 3 3x 2 12x 4 has Mathematics Question The function f x 2x3 3x2 12x 4 has no maxima and minima one local maxima and one local minima two maxima two minima A no
Solution The correct option is B One maximum and one minimum Explanation for correct option Step 1 Find the critical point Given function f x 2 x 3 3 x 2 12 x 4 f Whereas x 2 is point of local minima and the minimum value of f x is 16 So the correct option is option C Hence the given function 2x 3 3x 2 12x 4has
the function f x 2x 3 3x 2 12x 4 has
the function f x 2x 3 3x 2 12x 4 has
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Differentiate The Function F x 2x 3 3x 2 4x YouTube
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How Do You Graph F x X 3 2x 4 Socratic
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The values which make the derivative equal to 0 are 2 1 Split into separate intervals around the x values that make the derivative 0 or undefined Substitute a value Correct option is C We have f x 2x3 3x3 12x 4 f x 6x2 6x 12 Now f x 0 6 x2 x 2 0 6 x 1 x 2 0 x 1and x 2 On number line for f x we
So x 1 is the point of local maximum At x 2 we have f 2 12 2 6 24 6 18 0 So x 2 is the point of local minimum Thus the given function f x 2x 3 3x 2 Question For the function f x 2x3 3x2 12x 4 at which x value s does a local maximum occur There may be multiple answers a single answer or no answers
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The Function F x 2x 3 3x 2 12 X 1 Decreases In The
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Example 8 Show F x X3 3x2 4x Is Strictly Increasing
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Ex 6 2 4 Find Intervals F x 2x2 3x Is a Increasing
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Question 12 The function f x 2x3 3x2 12x 4 has two points of local maximum B two points of local minimum C one maxima and one minima D no Class 12 Solutions The function f x 2x 3 3x 2 12x 4 has Let f x 2x3 3x2 12x 4 Applying the first derivative we get Applying the sum rule of differentiation so
Find the Absolute Max and Min over the Interval f x 2x 3 3x 2 12x 1 2 3 f x 2x3 3x2 12x 1 2 3 Find the critical points Tap for more steps 2 19 1 8 Solve your math problems using our free math solver with step by step solutions Our math solver supports basic math pre algebra algebra trigonometry calculus and more
Solved F x x 2if X 3 4x 7if X 3 Let F Be The Function Course Hero
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Find The Absolute Maximum And Minimum Value Of F On 2 3 F x 2x 3
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the function f x 2x 3 3x 2 12x 4 has - Question For the function f x 2x3 3x2 12x 4 at which x value s does a local maximum occur There may be multiple answers a single answer or no answers