What value should be assigned to f(2) so that the extended function is continuous at x=2

Q: Mark each statement as true or false. a.) If a function is differentiable at x=3, it must be…

A: Topic = Application of Derivative

Q: The figure is the graph of the derivative, ƒ', of a function f on [-3,3]. ครั้งที่ Determine the…

A:

Q: If  f′(x) < 0 for 1 <x< 6, then f is decrescent over(1,6) True or false and why

A: If  f′(x) &lt; 0 for 1 &lt;x&lt; 6, then f is decrescent over (1,6) True or false and why

Q: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: Find the absolute extrema of the following function on the indicated interval.  f(x)=x^3+2x^2-3x+4…

A:

Q: nswer 1. For the function f(x) = 5+5x-x', find the local extrema. Use the first derivative test to…

A: Please see the below pictures for detailed solution.

Q: 17. Sketch the graph of f(x) = { 2x + 2, x ≤ −1 [x³−x, x>−1 and find the derivative. Determine…

A: 17. Sketch the graph of  and find the derivative.Determine whether  satisfies the conditions of the…

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: Concavity and points of inflection. Answer the following questions using the function f(x) The…

A: The given function .The aim is to find the concavity intervals of the given function.

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.