When the function f (x) is divided by x + 4, the quotient is 2x2 – 5x – 7 and the remainder is 4. Find the function f (x) and - write the result in standard form.

Q: If f(x) = 3x² + 2x, find f'(2)

A: Given: fx=3x2+2x To Find: f'2=?

Q: if f(x)=5x3 +4x-3, Find f(-4)

A: The solution of the problem is given in the next step.

Q: Differentiate the function. 3 + 6x g(x) 7 - 2x g'(x) =

A:

Q: Find the range of the quadratic function F(x)= 3x^2+6x Use interval notation

A:

Q: Find f'(2), if f(x) = In(2x³ – 3x).

A: Given,          fx=ln2x3-3x

Q: Find the difference quotient of f(x)=5x^2-x+4

A: The difference quotient of f(x) is given by:

Q: Apply the difference quotient f(x)=2x^3-5x^2-6x+3

A:

Q: find domain of f(x)=-5x+2

A: Recall the following fact.

Q: Differentiate the function g(x) = 6x² + 11tanx.

A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

Q: Find where function is increasing and decreasing, and graph the function. f(x)= x4-10x3-33x2+90x+216

A: The given function is

Q: find a simplified difference quotient for the function f(x)=-3x^2

A: Consider the function

Q: finde the difference quotient of f(x)= x2-2x-3 in simplest form

A: Known fact:The difference quotient is computed using the formula is m=( f(x+h) - f(x))/h.

Q: Find f. f"(x)  =20x3 -12x2 +6x

A: Consider the provided function, f''x=20x3-12x2+6x Find  fx. Integrate both the sides with respect to…

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: If f(x) = 6 + 7x – 2x?, find f'(2). -

A:

Q: If f(x) = 3x + 5x2 – x + 6, find f(0) and f(-2).

A: We have given fx=3x3+5x2-x+6. We have  to find f0 and f-2

Q: If f(x) = x² – 2x + 5, find f(-4).

A: Given,f(x)=x2-2x+5,To find: f(-4). Solution: f(x)=x2-2x+5 substituting,x=-4 ,in f(x) we get f(-4)…

Q: Find the difference quotient of f(x) = −2x2 + x + 1.

A: We have to find the difference quotient of the given function.

Q: Which expression reveals the zeros of the function defined by -x + 7x - 12?

A: We have to find expression reveals the zeros of the function defined by  - x2 + 7x - 12  = - x2 + 3x…

Q: Determine the end behavior of the function f (x) : x³ + 3x2- x - 3

A:

Q: Find the x-intercepts for f (x) = x³ – 9x.

A: The solution of the problem is given in the next step.

Q: If f(x)=3x^2-3x+7, find f'(1)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: If f(x) = 3 5x, find f(-17). -

A: f(x)=3-5xLet y=3-5x5x=3-yx=3-y5f-1(x)=3-x5

Q: If f(x) = 7+ 3 – 3x², find f'( – 5). -

A:

Q: If f(x) = 6 + 6x - 2x², find f'(-3).

A:

Q: ] If f(2x+3)=4x²-2x+3, find f(x).

A:

Q: Find the points of inflection of the function f(x)=2x4−3x.

A: Inflection point is a point on the graph of function f(x), where the second derivative f''(x) is…

Q: Suppose that f(x) = 11x² – 7x. Find:

A: As per the company guidelines we are supposed to answer first three subparts.Kindly repost the other…

Q: Find and simply the difference quotient for the function f(x) =2x2 +x -7

A: given function fx=2x2+x-7

Q: If f(x) = 3 + 2x – 5x2, find f'(5).

A: Use the power rule of derivative to differentiate the function.

Q: Differentiate the function: f(x) = x5 + 2x divided by 5x4 - 8

A:

Q: find the difference quotient of: f(x)=2x^2-3x

A:

Q: If f(x)=-5x²+3x-2, find 13) f(1) *

A:

Q: Find the domain of the function V5 +4x f(x) = x2 – 36 and write your answer in interval notation.…

A:

Q: if (gof)(- 1) = 3 and g(x) = 4x 1, find f(-1) :

A: Given that (gof)(-1)=3 and g(x)=4x-1 find f(-1)

Q: Find the difference of Quotient. f(x)= 6x/x+2

A: The given function is, f(x)=6xx+2. Obtain the difference quotient.…

Q: Find the points of inflection of the function f(x)=x3−3x2−1.

A: Given

Q: Find the difference quotient of f(x) = −2x2 + x + 1

A: For the difference of quotient ,  (f(x+h) -f(x))/(h)

Q: find the difference quotient for f(x)= x^3 -2x

A:

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Simplify the difference quotient ƒ1x + h2- ƒ1x2 / h for the follwing function. ƒ1x2= 3x

A: The given function is fx=3x.

Q: Find the inflection points of the function f(x)=x4−6x2.

A:

Q: If f (x) = -x2 - 6x + 3, find f (-2).

A: f(x)=-x2-6x+3 given x=-2

Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)

Q: if f(x) = 4x2-3x-1, find the difference quotient

A: Given,

Q: Describe the end behavior of f(x) = -2x3

A: Given polynomial, fx=-2x3

Q: Find the domain of: f(x) = 7x - 2/ x+4

A: Please refer the attached image for complete solution.

Q: Describe the end behavior of f (x) = x³ – 4x² + x + 6 -

A:

Q: (x)=(x²-3)' +x) 2 5

A:

Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10