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: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

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: Q1: In Leibnitz theorem, If f and g are functions of a variable x, then nth derivative of (f.g) can…

A:

Q: 6. Use the graph of f(x) given below to sketch a graph of f'(x). f(x)

A:

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: 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: 1. (a) For the function f(x)=x* - x² (whose %3| | graph is shown) use the power rule to take…

A:

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: ph represents the derivative function f'(x) of a function f(x). rval of increase and decrease of the…

A:

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: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

A:

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: Given the following vector field and orientated curve C, evaluate F.Tds. (x,y) F = on the curve…

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: 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)