Consider the function f(x) = 3x? + 3x f(x + h) – f(x) Evaluate and simplify: Preview

Q: Differentiate the function

A: The given function is shown below:

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

A:

Q: Describe the domain and range of the function. f(x, y) = 8x² - y %3D

A:

Q: Sketch linear function f(x)=-3/4x-6

A: Given: sketch the linear function

Q: Find the domain of the function. (Enter your answer using interval notation.) 1 f(x) 4x 12

A: The domain of a function are those value of x for which the function is defined. We know that value…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = V 10x2 + 18

A:

Q: consider the function f(x)=3x-1 what is f(4)

A:

Q: Find the domain of the function. (Enter your answer using interval notation) f(x)=1/x-7

A: Solution: The objective is to find the domain of the function

Q: Express the function in the form f ∘ g.

A: Given: Gx=x2x2+4. Let, fx=xx+1 and gx=x2. Then, Gx can be expressed as, f∘g=fgx       =fx2…

Q: Evaluate the function. f (x) = -x² + x Find f(-1)

A: We can find the answer as below.

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = Vx + VT– x

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = V9-8x %3D

A: For function f(x), domain is the set of value of x for which f(x) is defined.

Q: A7: By use of the quotient rule, differentiate the function f(x) = e2x+1

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: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1/3x − 15

A: Given,

Q: Sketch the function  f(x)=-x3-3x2

A:

Q: (i) Let f(x) = x³ – 1. Find f¯1 ? Check your answer ? Draw f and f-!

A: As per honor code, we entitled to solve only one question at a time so I am providing the solution…

Q: Use the Quotient Rule to differentiate the function. f(x) = %3D x + 9 f '(x) = %3D

A:

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

A: First simplify the given function as follows.

Q: Differentiate the function. f(x) − 186.5

A: Our Aim is to differentiate the function given below:-f(x)-186.5-(i)

Q: f(x) = 3 – 2x +x

A:

Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

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: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x…

A: Let's find.

Q: Differentiate the function.   f(x)  =π2

A: Given:fx=π2

Q: f (x) = 55x34x²

A:

Q: Use graphing technology to find the domain of the function f (x) = Vx +3.

A: the domain is [-3,inf)

Q: Differentiate the function with respect to the independent variable. f(x) = 4+ 3x? f'(x) =

A: Answer is given in the picture

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

A:

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Define f (x) = 2 – 3x2. Find the exact value of f (). (€)

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = Vx + V3-x

A:

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

A: Given problem is  :

Q: Find the (implied) domain of the function. (Enter your answer using interval notation.) f(x) = x4 –…

A: Given: f(x)=x4-19x3+54x2-13

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = x+9/x^2-1

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) g(x) = V x2 - 1

A:

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

A:

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Consider the functions f (x) = Vx – 4 and g(x) = Vx – 4, are their domains the same or different?…

A: Find the domains of the given function

Q: Differentiate the function. f(x) = 240 f'(x) =

A:

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

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

A:

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

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 X - 6

A: We have to solve

Q: 24. (EXERCISE) Consider the function f(x) = 3x* – 20x' + 42.x² – 36x .

A:

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

A:

Q: Explain briefly why the function f(x) = e" – x³ – 8 eIntermediate Value Theorem. Use IVT to show…

A: We will use the Intermediate value theorem.

Q: Find f' in terms of g' а. f(x) %3D х? g(х)

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Differentiate the function, f(x) = (3x2 - 4x)e* %3D f'(x) = %3D

A: It is given that,fx=3x2-4xex We have to differentiate the function.