Given the function f(x) = 3x? – 7x + 8. Calculate the following values:

Q: f(x) = x² + 3x - f(6) = [?] Be sure to simplify your answer.

A: The given function is fx=x2+3x-x2.

Q: Find the simplified difference quotient for the given function    dx2 + kx + m

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Q: Does the function y = e-3t satisfy the following differe y" + y' + 12y = 0

A:

Q: Find f'(0) for the function f (x) = 3.xe 5x %3D Answer:

A: use the formula for the derivative  d ( u v ) = u dv + v du  ddxeax=aeax,ddxax=a

Q: For the function f(x) = V - 6, find f-(x).

A: Given : f ( x ) = x ( 1/4)  - 6  find : f - 1  ( x ) = ?

Q: For the function f(x.y) = e 4xy, find f, and f,. f, =

A:

Q: What is (fo g)(11) if f(x) = V – 3 and g(x) = x – 7?

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: consider the equation below and find the inflection point: f(x)=x^3-9x^2-21x+8

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Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: For the function f(x) = 29, find ƒ ¯'(x). 2x-9 f(2) = Answer: %3D Subu

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Q: Given the function h(x) = -2k(x - 1) + 3, and k(x) = x + 15, write the equation for h in terms of x.

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Q: Given the function f(x)=0.2(x−2)(x+1)(x−5), determine the end behavior of the function

A: Given the function,

Q: If f(x) = 3x? – 2e", find: f'(x) = = (x),.

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Q: Given f(x)=(6x+9)^4, what is f'(x) when x=19?

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Q: Find d2y/dx2 for the following function. y=e7x^2

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Q: Sarai was given the function, f(x)=x² - 2x +8. For what x value(s) would f(x)= 20?

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Q: f'(x) = 6Vx ; f(1) = 7,

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Q: Q:: Find for the following functions: - 2) 3y3 + 2x2 - y = x

A: To find the differentiate

Q: V, find f(x). 9 For the function f(x) =

A: Given f(x)=9x54 and i.e. y=9x54Now we swap x and y to find the inversex=9y54 and here solve for y

Q: For the function f(x) = 4x3, find f'(2). %3D

A: f(x)=4x13=yFor inverse, interchange x and y and solve for y

Q: 1. f() 3 2х + 3

A:

Q: For the function f(x) = vx – 2, find f'(x).

A: Given,           The function is fx=x-2 .

Q: nd the x- and y-intercepts for the function. f(x) = x+10 x2 +25

A: Given query is to find x and y intercept of the function.

Q: Evaluate the following functions. Show your solution. Given the function f(x)=6x²+12x-15,where, a. x…

A: Here we have given a function f(x)=6x2+12x-15. So value of given function when x=2. a.)…

Q: For the function f(x) = 3x-2x-3x +2, find "(X). Then find f"(0) and "(4).

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Q: For the function h(x,y) = 7x + 4y find and 5ху - 8 ду

A: Given: hx,y=7x+4y5xy-8   We know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Find f ′(x) for the function f (x) = 7x −8

A: Differentiation is the process of finding derivative or rate of change of a function. Suppose we…

Q: If f(y) = V4 - 7y, find f'(y). Use exact values.

A:

Q: Q1) Find the local extreme values of the function: f(x.y) =4 x2 - 6xy + 5 y?-20x + 26y

A: Answer

Q: For the function f(t)=|4-3t|, find x-value so that f(t) = 12

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Q: For the function f(x,y) = 5x - 6y - 6, find - of and

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Q: Given the function P(x) = (x – 3)´(x – 8) Its y-intercept is | (3,0)

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Q: for the function f(x)=x2-2x-8, find the two points x when f(x) = 7 the answer should be in this…

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Q: For the function f(x,y) = e 12xy, find f, and f,.

A: The given function is  f(x, y) = e12xy To find fx, fy

Q: Given f(x)=(x−7)^3(x−11)^6, where does f(x) touch the x-axis and turn?

A: Given data: The expression for the given function is f(x)=(x-7)3(x-11)6.   Here, the graph of the…

Q: For the function y = 3x2 + 9x + 4, at the point x = 8, find the following.

A: Given data:     The given expression is: y=3x2+9x+4. The given point is: x=8.     (a) The expression…

Q: For the function: f(x) - 3z² +3, f(2) – f(a)

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Q: Find the (x-coordinate of the) inflection point of f(x) = x³ – 3x? + 5x – 4

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Q: Determine h' (x) when it is given that [h(2x)] 16

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Q: Find for the given function. dx2 y = 9x + 6

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Q: Given the function f(x) = -x2+2x+6, find f(1) and f(4). Compare the values.

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Q: For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f −…

A: Part A- Given : Given functions are fx=7x , gx=x2 Calculation: f+gx=fx+gx⇒(f+g)(x)=7x+x2 Answer:…

Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

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Q: If f (x) = xe¯¤ , what is f(1000) (0)?

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Q: . For f(x) = 6x + 8, find the solution to f(x) = 35.

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Q: Given the function f(x,y)=x³-5x² + 4xy-y²-16x - 10. Which ONE of the following statements is TRUE?

A: As per as our guideline i am supposed to answer only one question please repost the remaining again…

Q: Given the function f(x) = -x2 5, express the value of e+h) f(x) in simplest form.

A:

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.