How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? g(x) = -2?

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find the derivative.   g(x) = 4^x/x^4

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Q: Differentiate the function

A: The given function is shown below:

Q: Find the second derivative of the function.      f(x) = (x2 + 3x)/(x − 4)

A: Given f (x)  = x2+3xx-4we have to find second derivativerule used :-Outient rule :- if there is a…

Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Differentiate f(x) =- from the first principles. x2+3

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Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

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Q: Differentiate the function. H(x) = (x+x^-1)^3 H'(x) = ?

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Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: find the derivative  f(x)=x3(x2-1/x2+1)

A: Given:The function f(x) = x3 (x2 − 1)/ (x2 + 1)

Q: Find the derivative of the algebraic function. f(x) = (x2 + 5x + 6)/(x2 − 4)

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Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: 1. How will the function f (x) = (x – 6)° + 5 be transformed from its parent function? -

A: Given function, f(x)= (x-6)6+5 The parent function is g(x)= x3

Q: How do I find f(x+h)?

A: We plug x+h in place of x

Q: Find the second and third derivative of the function (a) f(x) = x6 – 3.x5 – 41x – 73 - |

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Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: find the derivative f(x)=(2x3-3)2/3

A: Consider the given function

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: determine the simplified equation of the new function h(x) = f(x) + g(x), where f(x) = 2x - 3 and…

A: From the given problem: fx=2x-3 &  gx=x+1 And hx=fx+gx So, we can write as: hx=2x-3+x+1

Q: Write the formula for the derivative of the function -4 g(x) x2 = g '(x)

A: Formula:

Q: Find the derivative of f (x) = e(x3 − 10x2 + 8 ) .

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

Q: Find the first and second derivatives of the function. (Simplify your answer completely.) g(x) =…

A: Let's find.

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: Find the second derivative of the function. f(x)= [3x3+7]7

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Q: Find the derivative of the function. f(x) = (x3 − 3x2 + 4)/x2

A: Given,          fx=x3-3x2+4x2

Q: Use the chain rule to find the derivative of f(x) = 2e-72° + 32® f' (x) =

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Q: how is f(x)=x^5  a power function

A: We know that ,  power functions are functions that are in the form of f(x) = kxa or y = kxa, where k…

Q: Calculus I Find the derative for each intervals.

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Q: Find the third derivative of the function. f(x) = (x3 – 8)4 f"'(x) =

A: To find third derivative of function fx=x3-84

Q: Consider the function f(x) = i + x². How does this function essentially behave for large positive…

A: The Given Function f(x) contains rational function x/(x2+1) and polynomial function function…

Q: Find the internal where the function is increasing and decreasing for  g(x)= x-x^3

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Q: Find the derivative of the function. g(x) = 4x2 + 7x3 g'(x) = %3D

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Q: The derivative of 4.x5 is f(x) f(x) = Зх-2

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Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: How many points of inflection does the function f(x)=x8-x2 have?

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Q: Find the first and second derivatives of the function.  f(x) = (x2 + 4)5

A: Rule used:The derivative rules are shown below.

Q: The functions f and g are defined by f(x)=x^2 and g(x)=2x, respectively. Which equation is…

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Q: What is the end behavior of f(x)?

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Q: Find the first and second derivatives of the function. g(x) = -4x3 + 11x2 + 6x - 51 g'(x) g"(x)

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Q: Rewrite the function g(x) = ((x^2)-1)/((x^2)+2) so that you can solve for the derivative using the…

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Q: find the first and second derivatives of the function f(x) = (x2 + 4)5

A: The given function is f(x)=x2+45.

Q: Find the first and second derivatives of the function. f(x) = (x² + 5)5

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

A: Given,

Q: 3x2 – x +1 - Find the derivative f'(x) by hand when f(x) %3D 2x + 7

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Q: Differentiate. f(x) = (7x² – 2x)e* f'(x) =

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Q: Find the second derivative of the function f(x) = 5(2 − 7x)4

A: Find the first derivative as shown below: f'x=ddx52-7x4        =42-7x3ddx2-7x        =5· 42-7x3-7…

Q: 3 f(x) = (x³ – 8)4 f'(x) :

A: Use Chain Rule with other some basic identities.