Consider the function g (x) = x5 , on the restricted domain [-8, 8]. Which of the following describes g" (x)? O g" (x) = . The second derivative is undefined at x = 0 and at the endpoints of the domain. 9z 3

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A: Here's the solution, please have a look at it...

Q: Find the derivative of the function.

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Q: 2. g'(x) where g(x)= x² +7x-5

A: differentiation by using first principle

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A: Using derivative of composite function.

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A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: Use the alternative form of the derivative to find the derivative at x = c  (if it exists). f(x) =…

A: Definition used -           Alternative form of derivative -…

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A: Find derivative using  definition of f(x)=1x at a=4

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: 2. Let f(x) = /1 – x² . Find f(8) (0), i.e., the eighth derivative of ƒ evaluated at the point 0.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: b) Find the derivative function of f(x) = √5x - 1 using first principles.

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A: a. From the definition we have the following, Simplify further,

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 2. f: R→ R, such that f(x) = x(2x − 3).

A: We can find the answer as below.

Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

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A: Odd function

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A: Given f(x)=x2-2 c=5

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Q: b) Use the definition of the derivative to compute f'(x) for 1)f(x) = 2v-5x + 9, 2)f(x) = x sin 3x…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the derivative of the function f(x) = 4x2 – 13x – 30 by definition of derivatives f(x + h) –…

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A: Solve for the derivative

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A: find out the derivative of the function.

Q: Find the derivative of the function. G(x) = V1 - 9x² arccos(3x) G'(x) -

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Q: 4. Find all derivatives of f(x) = x*, where k is some unknown natural number.

A: f(x) = xk and we need to find all the derivatives of f(x)

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Q: 3. Find the first derivative of the function f(x)= 2x3-4x+1 using forward Difference formula if, X1…

A: Solution:

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

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A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1,…

Q: the function f(x) = In 5x +3x + 13). 6. Differentiate ° 7. Find the derivative of the function .2 y…

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Q: Compute the derivative of the function f(x) = S7+3x²' at the point 4, using the definition. Ex. 2.…

A: Derivative.

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A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: suppose the derivative of f exists, and assume that f(2)=3, f'(2)=4. Let g(x)=x^2f(x) and h(x)=…

A: The objective is to find the equation of tangent lines of g(x) and h(x) at x=2