Say that we also know f'(x) =0 at x 6. Which of the following must be true about the function f(x)? (Hint: plug in x= 6 for f"(x). Is your answer positive or negative?) (a) f(x) has a local maximum at x 0. (b) f(x) has a local minimum at x 0. (c) f(x) has a local minimum at x 6. (d) f(x) has a local maximum at x 6. (e) None of the above

Q: Iff(x) = 3 x- 2 x, find f'(x)

A:

Q: Given the function f(x)=x^2 what is a modified function that opens down with a vertical shift of 4…

A: using rule for shifting of curve

Q: State the domain of f(x) =- x+3 O (e> 3} {x\x 2 3}

A:

Q: The graph of the function f(x) is shown below. It consists of a semicircle and two straight line…

A:

Q: Find f. f"(x) = 20x + 12x² + 6, f(0) = 6, f(1) = 2 %3D f(x) =

A: Find your answer below

Q: Let f(x)=x*. Find the value of f'(e).

A:

Q: 4. Given the graph of y f(x) at right, draw a graph of each of these related functions. ソ=k) a. y=…

A: Transformation of graph: Let us suppose y=f(x) be the graph then  1) the graph of y=f(-x) means…

Q: Rational Reasoning website Two functions f and g are related such that g(z) = f(x - 2). Use this…

A: Please refer to the image below.

Q: Suppose f(x) = x² - 4x-9. Compute the following: A.) f(-3) + f(2) = B.) f(-3)-f(2)= =

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.