Differentiate the function f. Use the form f'(x) = f(x) = 9x² + x + 8 f'(x) = = lim h→0 f(x +h)-f(x) h Determine the domain of f'. (Enter your answer using interval notation.)

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: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: Add and subtract functions. Be f(x) = x^2 - 4 and g(x) = x+2 determines

A:

Q: Find f g and g of, where f (x) = x^2 + 1 and g(x) =3x + 2, are functions from R to R.

A:

Q: Is function f even, odd, or neither? f(x)=3|x|+5x^3

A: Find f(x) is even, odd, or neither.

Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: A function and its graph are given. (x) = x + 2x2 - 12x – 20 60 40 20 -8 -6 -4 -2 6 -40- (a) From…

A: Answer

Q: The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2*…

A: Given function is By using the law of exponents x^m/x^n=x^(m-n), we get Differentiating with…

Q: does y^2+x^2=4 define y as a function of x?

A: A relation from a set X to another set Y is called a function if each element of X is related to…

Q: Fnd f'Ce) of the fallowing functien. f Cx)

A:

Q: determine all values of x at which the function is discontinuous: 1. f(x)=2x/(x^2-1) 2. f(x)=…

A: Given function is  fx=2xx2-1 The function fx is undefined when x2-1=0 which gives x=±1. So, the…

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

A:

Q: If f(x)= anx", specify the domain of f.

A:

Q: Use the graph of f(x) to find the interval where f''(x) > 0. -5 -4 -3 -2 -1 3- 2- 2 -3₂ 4 T 5 A.…

A:

Q: Given that f(x)= x^3 - 2x^2 + 1, for a domain of [-0.5,2.1)

A:

Q: For the function f(x) = x^2/2-x, what is f(a+h)?

A:

Q: = (F 1-2 f(z) = 3z² + 솔

A:

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.

Q: Find all six solutions between 0 and 2 for the trigonometric equation: sin(30) = Use the multiple…

A: The given equation,      sin3θ=12