Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

Q: If f (x) = 12 + 2x² – x*, use the second derivative test to find the local extrema of f.

A: Just use second derivative test and answer will follow.

Q: Q3/ Use the definition of derivative to find f'(x) where fx=- 3 X+1

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Q: Apply the First Derivative Test to identify all relative extrema. f(x) = -7x³ + 21x +3

A: fx=-7x3+21x+3 Differentiating with respect to x, we get f'x=-73x2+211+0⇒f'x=-21x2+21 Now to find…

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: Use the Quotient Rule to find the derivative of the function. f(x) = x/x-2   f '(x) =

A: Given function

Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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Q: 2x f (x) = Vx+1

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Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(x) = x³ (x* + 1)

A: Here we use Product Rule of differentiation.   If f and g are both differentiable, then ddxf(x)·g(x)…

Q: Find the derivative of the function. f(x) = (9x2 – x) In(x) f'(x) =

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: Given, fx=2x+7x2+4

Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: Calculate the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the second-derivative test, if possible, to find relative extrema of y x5 – 5x. -

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Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: Use the first derivative test to determine the local extrema, if any, for the function f(x) = 3(x -…

A: Given that a function f(x) and we find local extrema. For local extrema we do first derivative of…

Q: Use the chain rule to find the derivative of f(x) = 4/2x° + 7x7

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Q: Find the derivative of the function. f(x) = 2- 5x-, - 6 f'(x) =

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Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Find the x value(s) of any relative extrema. Use the Second Derivative Test to verify. f(x) = -x3 +…

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function f(x) = (x2 + x −…

A: Let, u=x2+x-1u'=2x+1Let, v=x2-1v'=2x

Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 5) f(x) = 2x2 at x 1 %3D

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Q: Find the derivative of f(x) = - 2 * root(4, x ^ 5) + 7/(x ^ 6)

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Q: Determine the relative extrema of the function f (x) = = x' 3x² 24x + 32 using the second derivative…

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Q: Find the higher order derivative. f"(x) = 3x² + 2x – 15 f(5)(x) =

A: f''(x)=3x2+2x-15

Q: Use the Quotient Rule to calculate the derivative. f (x) = (x+4) / (x2 + x + 1)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

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Q: Find the derivative of the function. f(x) = (3x2 + 7)(x2 − 1/x)

A: Given,

Q: Use the definition of the derivative to find the derivative of f(x) = x^3-4x^2+x

A: the given function is: f(x)=x3-4x2+x

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function   f(x) = (2x +…

A: Given:fx=2x+7x2+4Product rule:ddxuv=udvdx+vdudxQuotient rule:ddxuv=vdudx-udvdxv2

Q: Apply the second derivative test to find all relative extrema. (b) f(x) = -x + 4x³ +8x²

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Q: f(2) — V3х — 7

A: Solved using terms of derivative.

Q: The derivative of f(x) = 5lnx is

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Q: Use the Quotient Rule to find the derivative of the function.                                f(x) =…

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Q: Use the Quotient Rule to find the derivative of the function. 3x + 2 f(x) 4x - 5 f'(x) =

A: We have to find the derivative

Q: Use the second derivative test to find the extreme values of the function 49 f(x) = 25x +

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Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: Use the second derivative test to find the local extreme values of y= 2x7-x+12

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Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: Use the second derivative test to find all relative extrema  f(x)= x+4/x

A: The given function is as - f(x) = x+4xProcedure to find local extremas - 1. Find f'(x)2. Put f'(x) =…

Q: Find the derivative of the function f(x) = 9x-³ + x² + 14. f'(x) = %3D

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Q: Use the definition of a derivative to find f ′ (x). f (x) = 2 − 3x

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Q: Find the derivative of f (x) = (x' – 6x) (x" + 2x - 5). f' (z) =

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Q: Use the second derivative test to find the extreme values of the function f(x) = x³ – 3x? – 24x . -

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Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…