(1) For the function f(x)=*-3 4- 2x evaluate and simplify the following: (i) f(-1) (ii) ƒ(2a-b)

Q: 8. Find f'(x) for the function f (x) = (5x² + 3)4

A: ddxfxn=nfxn-1f'x

Q: For the function f(x) = !!x2 + 3 find f -1(x)

A: the given function isf(x)=x2+3to find f-1(x)

Q: Find the difference quotient f(x+h)-f(x) for f(x) = x² - 4x. h

A: Here is the solution:

Q: For the function f(x) = Vx – 3. What does (f-1)'(6) = (f-1)(x) =

A: The function is fx=x-3.   Differentiate the function with respect to x. ddxfx=ddxx-3f'x=12x-3…

Q: For f(x) = 1- x²

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Q: find  f^-1(x)= for f(x)=13+10x f^-1(x)=

A: We have to find inverse of given function.

Q: Find the quotient x+h)-f(x) for f(x) = 7x – 3x²

A:

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

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Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: Find f(x) where f '(x) = 3x2 - 1 and  f(-2) = 3.

A: It is given that,  f '(x) = 3x2 - 1 and  f(-2) = 3.

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x+3 g(x) = , x-3 kx…

A:

Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: 3. Find f (x). 2 f "(x) = 18x –- f(1) = f '(1) -

A:

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: Find the points of inflection of the function f(x)=x2 / 1+x2.

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Q: +x²) ial f(x) -3 -5 -2 -24 -1 -7 10 15 20 2 of the function repre 12

A: Given query is to find the degree of polynomial from the table.

Q: Find the value of the constant k that makes the function continuous. 2x - 5x - 25 if x +5 g(x) = х -…

A:

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: What happens to the function f (x) = (x – 1)² + 1 when it becomes f'(x) = (÷r – 1)² + + 1?

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Q: - 2< x< -1 f(x) = }-2 - 1< x< 1 1< x< 2

A:

Q: how can I Write the function in the form  f(x) = (x − k)q(x) + r  for the given value of k. f(x) =…

A:

Q: (2) Find the Difference Quotient of f (x) 3 -

A: The Formula of difference quotient of a function fx can be defined as, fx+h-fxh First calculate fx+h…

Q: 7) Find the difference auotient. f(x+h)-f(x) for the function, f(x) = x² + 3x - 4.

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−2x3 +3.

A: Given lines are x = –1 and x = 2. Given function is

Q: determine the f(0) if f'(x) = 2cosx + 8x^3 + e^x

A:

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

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Q: Find f  f''(x)= -2+36x-12x2      f(0)=5              f'(0)=16…

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Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

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Q: f(x) = x --1, g(x) = x + 2 | |

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx…

A:

Q: Determine where the function is concave downward. f(x)= -x^2+8x+8

A: Given, f(x)= -x^2+8x+8 We know that, We can calculate the second derivative to determine the…

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

A:

Q: Find f^-1(x) for f(x) = 9+8x f^-1(x) = ____

A: Topic = Function

Q: Find the slope of the secant line between x=−3 and x=4 on the graph of the function f(x)=3x2−x+2.

A: we will find slope of secant line by two point slope formula

Q: Find f-1 for the function f (x)= x- 2+8. A. f(x) = (x-8)' +2

A:

Q: Find f '(x) given that f(x) = (2r³ + 3x²-5)(5x² - 2r+1) Show your work

A: We will use the product rule of differentiation to find the derivative

Q: Derivatives

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Q: -3x-11 for f (x) = 2 for x>5 Find f(-1)

A: The given function is  f(x) = -3x-11if x≤-52if x&gt;5

Q: 3. If f(x) = 2x + 5, find f(-1) %3D a) Using evaluation: fo-2x +5 b) Using graph:

A: Given,          fx=2x+5

Q: f(x)=∣∣x−10∣∣ not differentiable? Why?

A: Given Data: Function: f(x) = ||x-10||   From function,   The derivative of function f(x) for x≥10…

Q: Find f'(-2) for f(x) x² +1

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Q: For f(x) = 2x^2-4x+3, find f(x+h)-f(x) / h. Algebraic work must be shown. Thanks!

A:

Q: How would I slove this:   For the functions  f(x) = 2x + 3, g(x) = 3x2,  find  (f ∘ g ∘ g)(x)

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Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: f(x) = x²+6x+5 2-1

A: I am attaching image so that you understand each and every step.

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation.…

A: The domain is the set of possible input values of the function.

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

A: