fex)= x?-4; f(x+3)

Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

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

A:

Q: Express the function (or rule) in words. h(x) = 5(x + 1)

A: The given function is   h(x) = 5(x + 1)

Q: your to nod of a. f(x) = x – 4x-*², I[1,2]

A:

Q: Find the function f(x) if f'(x) = ex+ 2 +(3/x) and f(1) = 6

A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: If f(-x)=(2,-1), what are the coordinates of f^(x)?

A: Given that,  f-x=2,-1

Q: Express the function (or rule) in words. f(x) = 2x + 3

A: we have to express of the function in words. f(x) = 2x + 3

Q: What is the value of ∇ ⋅ (∇ x F)?

A: If F= <f , g , h > then And

Q: Describe the domain and range of the function. f(x, y) = 9x²-y

A:

Q: If possible, evaluate the function at the given value of the variable. f(x) = V5x-2 x=2

A: We need to evaluate the given function at x=2

Q: f(x) f'lx) %3D

A:

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: When f(x) = 3, x=

A:

Q: Consider function y(x) = 24-x³-12x², -3≤ x ≤ 4. Which one of the following statements is true?

A:

Q: Evaluate the function at the given value of the independent variable and simplify. x2 + 6 . 3) f(x)…

A: To evaluate the function at the given value of the independent variable, f(x)=x2+6x3-5x,f(-4)

Q: Differentiate the function with respect to the independent variable. f(x) = (6 - 5x²) ³ f'(x) =O

A: Given, fx=46-5x23

Q: What is the value of x if f(x) = -3? %3D

A:

Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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: If f(x)= 2tanx/x, then f'(x)=    f'(5)

A:

Q: Determine f, (x); f(x) = Vx² + 4

A: This question about differentiation

Q: What is the domain and range of the function fx) = 3y +27 %3D Enter your answers in interval…

A: This question related to real valued function. Solution is given below.

Q: What point on the function y = sqrt(x + 3) is the closest to (2, 0)

A: We have to find closest to the given curve from (2, 0).

Q: What are the points of inter section of y = 8 and f(x)

A:

Q: At which ordered pair will the function f(x) = Vx – 4 +7 begin on the coordinate plane?

A:

Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: Differentiate the function. f(x) = 270 "(x) =

A:

Q: Find the fx(x, y) and fy(x,y) of the following function x² – y3 f(x,y) %3D Inxy

A: Given: fx,y=x2-y3lnxy

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

A: Answer is given in the picture

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

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

A:

Q: Express the function (or rule) in words f(x) = 2x + 9

A: The given function is             f(x) = 2x + 9            y= 2x + 9 Here the initially the x is…

Q: If f (x) = 3x + 7, find: %3D f(-2) = [ ? ]

A: Given,     f( x ) = 3x + 7

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

A: Given:

Q: What is the domain and range of the attached function:

A: We are given the function

Q: Differentiate the function. f(x) = (5x2 – 7x)eX f'(x) =

A: →Product Rule of differentiation:                 duvdx = udvdx + vdudx→dexdx =ex→dxndx = n xn-1

Q: |Find constants a, b, and c such that the function f (x) = x³ + ax? + bx + c will INCREASE to the…

A: Let's find.

Q: Explain why f′(x) could be positive or negative at a point wheref(x) > 0.

A: Explain why f′(x) could be positive or negative at a point wheref(x) > 0.

Q: Find the value of x where f(x)=1/2

A:

Q: Differentiate the function with respect to the independent variable. f(x) = /9x + 5x* f'(x) = D

A:

Q: Determine the domain of the function of two variables f(x,y)= square root of y+9x

A: We have to determine the domain of the function of two variables f(x , y) = √(y + 9x) Since ,  f(x ,…

Q: : Find extreme values of functions and where they occur Y = x3 - 2x + 4

A: Given function is : y=x3-2x+4 Find the extreme values of function and where they occur.

Q: The function f(x,y)=/26-2x²-y² is continuou at point (2,-3). .A False .B True

A: Givenfx,y=26-x2-y2

Q: Differentiate the function with respect to the independent variable. f(x) = 6 – 5x - 8x? f'(x) =O

A:

Q: What value should be assigned to a to make the function x<3 |(x) = {x²- 1, (x)%3D (2ax, x23…

A: Given:   Function equation is given