Describe the transformations from the parent function of: f(x)= 2^x to g(x)=2^x^−3+1

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: of function

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Q: How is this derivative found?

A: Given expression

Q: above the ground of the concrete block after s seconds?

A: we have to write a function representing the given statement to determine height h in feet after s…

Q: Find the derivative of f(x)=-4x2-4cosx

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Q: What is the common way to obtain a new function from an existing one?

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Q: what are differentiation of exponential functions

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Q: Can you help me find the derivative of f(x)=x8(x4- 6/x4) (this needs to be solved without using the…

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Q: Which are important types of functions are frequently encountered in calculus?

A: Important types of functions frequently encountered in calculus can be categorized as follows:Based…

Q: Describe the Chain Rule for the composition of two differentiable functions in your own words.

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Q: What are the expressions simplified and are the functionsinverses?

A: We will show that, both f°h and h°f are identity maps on their respective domain. Then, we can claim…

Q: Find derivative of f(x) = (x^3-6)(x+5)

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Q: What can you conclude about the inverses of functions whose graphs are lines parallel to the line y…

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Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: How to use a graph of a derivative to determine the parent function.

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Q: apply 1rt and second derivative to sketch graph  1)f(x)=3+7e^(-0.2x) and  2)f(x)=ln(2x+4)

A: In the question we have to draw the graph.

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

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Q: se the chain rule to find the derivative of f(x)=4√2x3+7x8 Type your answer without fractional or…

A: given f(x)=4√2x3+7x8 f'(x) = dfdx        =d42x3+7x8dxwktda+bdx = dadx+dbdx

Q: When is a function said to have the Intermediate Value Property?

A: Let f(x) be any  function which is continuous and defined in the interval [a, b].

Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: Find the derivative of: (4ln(x)+4)/(x1/2)

A: Derivative question

Q: find the derivative of the function F(x)=4(x^3-x)^4

A: According to the given information, it is required to find the derivative of the given function.

Q: Use definition to find the derivative of the function f (x) = 5x- 2x at = 3. [2 Marks] %3D

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Q: theoretically define what is the derivative of a transform and what is its function

A: Given data is : Define what is derivative.

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: Find derivative of f(x)=2x-7

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Q: Find the derivative of the function. f(x) = arcsec(4x) 4 f'(x) = 4√ 16x²2 - 1 or 1 x√ 16x² - 1 X

A: As we know that the derivative os sec inverse x is: ddxsec-1x=1xx2-1

Q: Graph f(x) x'- 3x-9x + 2. 3r2

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Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Let l be the length and w be the width of a rectangle.Then Area = l×b Perimeter = 2×(l+b)

Q: When examining the formula of a function that is the result of multiple transformations, how can you…

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Q: Find the derivative off (x) = 9x - 5 at x = 2 and x = 5.

A: Given f (x) = 9x - 5

Q: Find the derivative of (x-x^4)/(7/x^2+6/x^3)

A: Formula used:

Q: Find the fifth derivative of  f ( x) = 3 x 3 - 7 x 2 + 6. Use correct notation.

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Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: 4. f(x)=

A: The given function is: fx=5x2x+3   As we know that; The Power Law: ddxxn=nxn-1 The Quotient rule:…

Q: Use logarithmic differentiation to evaluate f'(x) f(x)=xlnx

A: We have to find derivative

Q: How can we Represent a Function Numerically?

A: A function f from a set A to a set B is a rule that associates every member of set A a unique member…

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Explain the Functions that are Nonlinear in the Parameters with example?

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Q: differentiate the function: f(x) = 6x ln(5x) -6x f'(x)=

A: Use sum rule for differentiation.

Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

Q: Find the derivative of f(x)=-9sqrtx+1/x^10. Type your answer without fractional or negative…

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Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.