23. The graph of a differentiable function ƒ is shown. If h(x) = f(t) dt, which of the following is true? O (A) h' (b)

Q: Suppose the derivative of a function f is Then f(x) is decreasing on the following interval: ○ (1,4)…

A: A function fx is said to be decreasing on an interval a, b if fx≤fy whenever x≤y and fx is said to…

Q: Let ƒ be a function that is continuous everywhere. The graph of the derivative of f, is shown below.…

A: (a) True Explanation : The graph of f' is decreasing on the interval (0,∞) , hence the function f is…

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: 1. Sketch a function f(x) with the following properties: • f'(x) > 0 and f"(x) = 0, for x 2

A: As you posted multiple question , I need to solve only first question.

Q: 2. (a) Sketch the graph of y = f'(x) given the graph of y = f(x). (b) Specify the domain and range…

A: Graph

Q: 9 Find the derivative of ƒ (w) = w 10 +5w. What is the domain of f' (w)?

A: The function is given by fw = w910+5w To determine: The expression of the derivative of the function…

Q: and g(x) are differentiable functions, suppose that f(-2) = 1; f(1) = 5; f'(-2) = 3; f'(1) = 3;…

A:

Q: The function f is given by f(x) =-2 – ;e™.What is the equation of the line tangent to the graph of f…

A:

Q: 4) The graph of the derivativef'of a function) IS (a) On what interval(s) is f increasing? (b) At…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 2. For the function, f(x), below, state the intervals of increase and decrease, the x-coordinates of…

A: The interval of increase: From the graph of the function, we can see that the function is increasing…

Q: 6. Apply the First-Derivative Test, to identify all relative extrema of f(x) = x3- Answe homev 16…

A: Given query is to find the relative extrime.

Q: Sketch a graph of f(x) satisfying all the following conditions: (1) f '(1) > 0 (2) ƒ "(1) 0

A:

Q: 3- Show that this function is differentiable for all and find its derivative (2) = f(x+ jy) = x*-…

A: The necessary and sufficient condition for a complex function f(z)=U+iV  (where U,V are the real and…

Q: Suppose f(r) is a function whose Derivative f'(x) is graphed below on the domain [0, 9). y = f'(x) 1…

A: Given: The graph of on the domain . To find: Interval on which is increasing. Interval on which…

Q: 3. Use the graph of f '(x) to sketch the graph of f(x). Sketch f(x) on the coordinate plane below…

A:

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: The graph below is the graph of y = f'(x), the derivative of a function f.

A: Given graph of y=f'(x)

Q: 2. Use the definition = f'(x) = limw-x- S(w)-r(x). to find the derivative of w-x y = tan x.

A:

Q: An object's distance from a fixed point at t seconds can be represented by the function f(t) = 5t2…

A: Given function:- ft=5t2

Q: Sketch the graph of a single function that satisfies all of the given conditions. (a) f'(-1) = f'(1)…

A:

Q: What conclusion can you draw if f' (c) = 0 and f'' (c) < 0?

A: Given: f' (c) = 0 and f'' (c) < 0

Q: 3x Let f (x) = Then the derivative of f is 1 + 5x f'(x) = A(1 + 5*) – Bx(5*) lIn C_ (1 + 5*)D where…

A: Given: f(x)=3x1+5x To find: A, B, C, and D if f'(x)=A(1+5x)-Bx(5x)ln C(1+5x)D              ...(i)

Q: Use the graph of f and g. p(x) = f(x)g(x) f(x) g(x) q(x) y 10 8. f 4 2 -2 4 6. 8 10 -2 (a) Find…

A: