Evaluate the difference quotient f(x+h)– f(x) 3 for the function f(x)=- and simplify. х

Q: find f'(x) using the quotient rule if f(x)=(3-x^2)/(2+x^2)

A: The quotient rule of differentiation is given as, ddxuv=vdudx-udvdxv2 where u and v is two…

Q: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

A: Let f(x)= (x+2)/(x+7) f^-1 (-2)=?

Q: find the difference quotient of f(x)= x^2- x + 1

A:

Q: Differentiate the function with respect to the independent variable. f(x) = In (3 -x²) f'x) = D

A:

Q: Find the difference quotient of f(x) = - 2x2 + x + 1; that is, find                          [ f(x +…

A: f(x)=-2x2+x+1

Q: What is the natural domain of the function f (x) = /5 – x?

A:

Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: Find the domain of the function.

A: Here the given function as fx=x26-x

Q: Differentiate the function: f(x) = x44x

A: We assume u and v, then find u' and v'

Q: Let f(x)=x^2 and g(x)=2x^2-3x+2. What is the difference of the two functions, f(x)-g(x)?

A:

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

A:

Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

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

A: To Determine: Find the inflection points of the function:

Q: Compute the difference quotient  f(x+h)-f(x) / h  for f(x)= 4x2-9x

A:

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: 17. Find the difference quotient for the function f(x)%=(x²+1) °, then simplify.

A: Given function is:

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

A:

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: Find and simplify the difference quotient of f(x) = x/1+x

A: The given function  f(x)=x1+x f(x+h)=x+h1+x+h The difference quotient = f(x+h)-f(x)h…

Q: compute the difference quotient f (x + h) - f (x)/h. Simplify your answer as much as possible. f (x)…

A: Given. f(x)=-x2+2xf(x+h)=-(x+h)2+2(x+h)           =-x2+2xh+h2+2x+2hf(x+h)=-x2-2xh-h2-2x-2h

Q: By use of the quotient rule, differentiate the function f(x) = ! 4-x? 1+x2

A: Given a function, we need to use quotient rule and solve.

Q: 7. Find and simplify the difference quotient of the function f(x) = x² – 5x.

A: given function is fx=x2-5x find the difference quotient difference quotient=fx+h-fxh

Q: Find f'(x) for the function. f(x) = 8x3 - x + 1 f'(x) =

A: Given f(x) = 8x3-x+1 We know that d(xn)/dx = n•xn-1

Q: Use the intermediate value theorem to show that the function f(x) = x³ – 3x + 1 has an x-intercept

A: Intermediate value theorem

Q: Find f(5) and f (x² + 3) for the function f(x) = -x + 2 %3D

A: Given,           f(x) = -x + 2

Q: Differentiate the function with respect to the independent variable. f(x) = (x³ - 7x) $ f'(x) =O

A:

Q: determine the difference quotient f(x+h)-f(x)/h for f f(x)=-2x^2+3x+1

A:

Q: Consider the function f(x) = х — 2 х — 4 -

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Q: Differentiate the function with respect to the independent variable. f(x) = (x° - 7x) 5 f'(x) = D

A: Given:

Q: Differentiate the functions. a) f(x) = 1– 2x +*

A: Given problem is  :

Q: Describe the concavity for the function f(x) = x³ – 3x.

A:

Q: Differentiate the function. f(x)= -1 x+5 f'(x)3D

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Q: For the function f(x)= -1x, find f(X th)-f(x) %3D

A:

Q: 3* f(x) =

A: Let I denote the open interval (a, b) in R and let x0∈I. Then a function f: I→R is said to be…

Q: Differentiate the function with respect to the independent variable. f(x) = In (3-x²) f'(x) =O

A: Consider the given equation is, f(x)=ln(3-x2) Then differentiate the above function with respect to…

Q: f(x) = (4x2 – 5x)e"

A:

Q: Find the inflection points of the function f(x)=x+x5/3.

A: Inflection points are the points where the second derivative is zero. So differentiating with…

Q: Express the function in the form  f ° g    F(x) = (2x + x2) 4

A: Given, F(x) = (2x + x2)

Q: Differentiate the function   f(x) =    5  - 1 /x

A:

Q: Find the difference quotient f(x+h-f(x)/h (assume h is not equal to 0) for           F(x)=2x-3x^2

A: Given : Fx =2x - 3x2

Q: Use the Product Rule to differentiate the function. f(x) = (6x + 2)(x³ - 3) f'(x) =

A:

Q: 7. Find and simplify the difference quotient f(x+h)-f(x) for the function f(x) = x² -

A: I am answering first question

Q: Differentiate the function. f(x) = x³(x + 4) f'(x) =

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Q: Differentiate the function with respect to the independent variable. f(x) = - 3x° + 4x$ – 7

A:

Q: Differentiate the function. f(x) = x³ - 7x + 2 | f '(x) =

A:

Q: Evaluate the function f(x)=x+4 when x=3

A: To evaluate the function f(x)=x+4 when x=3

Q: let f(x)=√(2+2x)  f′(4)= ?

A: The function is