Use the second derivative test to find the extre #1) f(x) = x³ + 2x² - 4x-8 %3D

Q: Find the anti-derivative of f'(x)=7x

A: Given : f'x = 7x

Q: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

Q: 3x-4 1. y = Arctan

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Q: 1 Use the power rule to find the derivative of f(x) = Vx 15 f'(x) = %3D

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

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

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Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: Find all relative extrema of the function f(x) = x* – 4x2 + 2 by using the Second Derivative Test…

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: 9. Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x2 – 4x +3 %3D

A: We will find the point of inflection as following.

Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: 7) f(x) = 3e In x %3D

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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 derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: 4) Find the derivative of f(x) = (5x² - 3)² in two different ways.

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Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2,…

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: 3) Find the derivative of f (x) = Vx3 – 4x² dv

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Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

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Q: 2. Determine the true error and relative true error when approximating the derivative of f (x) = -x²…

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Q: Find the derivative of the function. f(x) = (x + 1)(2x - 3) divided by 2x +1

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

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Q: Find the derivative with respect to x of f(x) = V5x + 4. f'(x) =

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Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

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Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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Q: Approximate the derivative of f(x)-x3+4x2-10x+5=0 at x=3 using the forward, backward and central…

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Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: f(x) = 5x* – 6Vx² + 유+ 18 x7

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Q: Find the relative extrema of f(x) = 4+70x – 5x² using both first and second derivative tests. f (x)…

A: Given:- f(x) =4+70x-5x2  To find:- Relative extrema of f(x) using both first and second derivative…

Q: 10) Find the second derivative of f(x) = 3e³x − 8e-6x 5x

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Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: Find the second derivative of the function. . f(x) = 4x3/2 : 1. g(x) = %3D X-1 .. h(x) = secx

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Q: Find the derivative of f (x) = VI- 4z. To enter va, type sqrt(a). f' (2) = 固助

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Q: Evaluate the derivative at the given value of x. 10) f(x) = x2 + 5x at x = 4 %3D

A: I did with limit definition of derivative

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

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Q: Find the derivative of the function.

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). f (x) =…

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Q: Find the first derivative given that f(x) 5x V2r+3

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Q: Find the relative extrema of f(x) = 4+ 40x – 5x? using both first and second derivative tests. f (x)…

A: Explained below

Q: What is the derivative of f(x)=4/3x^5/4 at the point x=4?

A: we using derivative nth degree formula to compute derivative

Q: Find the local extremes of f (x) = x³ +2x+ using the first derivative test.

A: Given,         The local extremes of fx=x3+34x4 using the first derivative test.

Q: B. Use the product and quotient rule to get the derivative of the followin 1.Differentiate ( 3x+1) (…

A: Since we only answer up to 3 subparts, we'll answer the first 3. Please resubmit the question and…

Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: Find the higher order derivative. f"(x) = 4x2 + 9x – 16 - f(5)(x) = %3D

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