The average rate of change of a function  f(x) = x2  between  x = 4  and  x = 9  is average rate of change =    9 − 4 =

Q: Find the average rate of change of the function from X1 to X2. f(x)= -3x2-x from X1= 5 to X2= 6

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Q: Find the derivative of the function. f(x) = (2x−8)4(x2 + x + 1)5

A: Consider the given function: fx=2x+84x2+x+15 We need to use product rule and chain rule to solve for…

Q: Find the second derivative of the function. 10. f(x) = 4x3/2 11. g(x) = x-1 12. h(x) = sec x

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Q: Find the derivative of the function. x2 +5 g(x) = x2 + 6x 6х? - 10х - 30 O A. g'(x) = x²(x + 6)2 2x3…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1. Find the derivative of f(x). 3x³ 2x²-x-5 - (a) f(x) = √x (b) f(x) =

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Q: the first and second derivative of  y=x/x2-4

A: Formula used:  If f(x) and g(x) are two differentiable functions,

Q: Find the instantaneous rate of change of the function at the given value f(x)=6x2-4x+3; x=2

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Q: Find the first and the second derivatives of the function. f(x) = (8x + 8)³ f'(x) = f"(x) =| %3D

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Q: 1 Find the derivative of f(x) = 2x + 3

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Q: Find the derivative of the function. h(x)=7/x - 2/x^3 =1/x^4 h'(x)=

A: Given function h(x)=7x-2x3+1x4

Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Find the value of x , for which the second derivative of the function f(x) = x - 3x² is equal to…

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Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Our Aim is to find the second derivative of…

Q: Find the average rate of change of f(x)=−x2+9x on the interval [1,6].

A: Given: The given function is, f(x) = -x2 + 9x  on [1, 6]   To determine: The average rate of change…

Q: the profit P for a company is P=100xe-x/400 where x is in sales. use the method of differentials to…

A: As a first step let's find the derivative of P as shown on whiteboard and establish the relationship…

Q: Find the derivative of the function. f(x) = (2x − 4)4(x2 + x + 1)5

A: The given function is fx=2x-44x2+x+15 By power rule of differentiation, we have  ddxxn=nxn-1…

Q: Find the absolute extrema of the function f(x) = (x +9) 2/3 on the interval [-5,1]. Find the second…

A: To find absolute extremum of given function:

Q: Find the second derivative. f(x) = 5e−x − 3e−5x f ''(x) =

A: Recall the following facts.

Q: Find the derivative of the function. f(x) = (2x − 2)4(x2 + x + 1)5

A: Important Points: [ A(x) B(x) ]' = A(x) B'(x)  +  A'(x) B(x)  [ xn ]' = n xn-1

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: firm produces a monthly quantity of a product given by the production function P(x) = 2000√x, where…

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Q: Find the first and second derivatives of the function. f(x) = √3x-7     f '(x)=   f ''(x)=

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x2+4x at x=-4

A: The instantaneous rate of change of a function at a point can be evaluated first by finding the…

Q: Find the second derivative of the function.

A: Given: f(x)=x2+3xx-4 To find f''

Q: find value of derivative f'(a) for the given value: f(x)=x2 + 3x + 1, a=3

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Q: Find the derivative of the function. f(x) =  4 (x2 − 9)4

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Q: The relationship between Cunningham Realty's quarterly profits, P(x), and the amount of money x…

A: Given,

Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

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Q: derivative

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Q: Find the first and second derivatives of the function. f(x) = x5 − x4 + 7x3 − 8x2 + 4x − 15 f '(x)…

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Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: F(x)=8x-2; X=2, x=3 How do I find the average rate of change and net rate

A: Given that F(x)=8x-2; X=2, x=3  To find the average rate of change and net rate

Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: Find the average rate of change of the function from x1 to x2. Function x-Values f(x) = −3x +…

A: Function      x-Values f(x) = −3x + 19      x1 = 0, x2 = 3

Q: e average rate of change of the function from Function X-Values f(x) = -2x3 + 8x2 + x X1 = 1, x2 = 8

A: Given : fx = -2x3+8x2+x

Q: Find the second derivative of the function. f(x) = 9(x2 − 1)2

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Q: Find the first and second derivative of the function. f(x) = 4x – 5x/10 f '(x) %3D f "(x) =

A: Given : f(x) = 4x - 5x9/10

Q: Find the average rate of change of the function from x1 to x2. Function      x-Values f(x) = x2 −…

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Q: Find the second derivative of f(x)=x(x^2+1)^3

A: Find the derivative of function:

Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: Find the second derivative of the function. f(x) x x-2 f"(x):

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Q: Find the first derivatives: 3. g(x) = (1 + 2x²)(x – x²)

A: As per bartleby guidelines we only give first question answers.

Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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Q: Find the derivative of the function: f(x)=ln  (x-3)^2÷(2x-1)^3

A: Given function is,

Q: 14) Find the first derivative of f(x) = 2*²2*

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Q: Find the second derivative of the function. f(x) = 8(2 − 2x)4 f"(x)=

A: Given,

Q: nd the derivative of th

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Q: 3 f(x) = (x³ – 8)4 f'(x) :

A: Use Chain Rule with other some basic identities.

Exponential Growth Model

The relation that represents an exponential function is: