Let f(x) = 5√x + 7. If h = 0, then the difference quotient can be simplified as A Bx+Ch+√x' where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = B = Use your answer from above to find f'(x) = lim h→0 Finally, find each of the following: ƒ'(1) = f(x+h)-f(x) h , f'(2) = and C= f(x+h)-f(x) h = and f'(3) = . چه

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

Q: If f(x)=/2x-3. Find f" (x). Also find the domain and range of f"(x)

A: Solution:Given      f(x)=2x-35To find f-1(x) Also find the domain and range of  f-1(x)

Q: Solve for f(x)

A:

Q: 2 9 x - x = (x)} JI a. Write f(x) in vertex and intercept form b. Find the maxima c. Write the…

A:

Q: lim b =

A: Given, limx→c b

Q: Please solve this step by step

A: Explanation and solution is given below....

Q: Differentiate f(x) = 8√3x³ + 10x6. Simplify your answer and enter it without fractional or negative…

A:

Q: lim (-In x) : 1|

A: Property of limit: limx→akfx=klimx→afx Calculation: The limit can be obtain by using the above…

Q: Given the following function, find f(x) where (-1,6) is a point on the graph of the function.

A:

Q: If g(x) is the graph of f(x), x^3, shifted right 2 units, write the formula of g(x)

A:

Q: What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

A: f(x)=2(x+1)2+1As a first step, we need to compare this equation with the equation of a parabola in…

Q: For the problem, find a.  f of g  b. g of f  c. f of f d. g of g f(x) = 3x+1 and g(x) = x^2

A: To determine the expressions for the composite functions.

Q: 1. f(x¹ + x³)dx π

A: The objective is to find the integration.

Q: Based on data from Hurricane Katrina, the function defined by w(x) = -1. 19x +990 gives the wind…

A:

Q: Given f(x)=3x^2 + 4x + 5, determine the roots of the function. Verify them with a graph.

A: An algebraic expression is obtained by combining numbers and variables together with arithmetic…

Q: Consider the function f(x)=5√x+9x^3+6x f′(x)=

A:

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

A:

Q: List the zero's of f(x) = x³ + 3x² - 4x. X =

A:

Q: -2 -1 0 1 3 5 6

A:

Q: X-V2x+3 If f(x) = *-v2x+3 Solve to find lim f(x)? X-3 X3

A:

Q: If f(x) = 3√5x-3, find f-1 (x)

A: given f(x) = 5x3-3 let y = f(x) = 5x3-3