3 Graph of f' 82. The graph of f', the derivative of f, is shown above. The line tangent to the graph of f' at x = 0 is vertical, and f' is not differentiable at x = 2. Which of the following statements is true? (A) ' does not exist at x = 2. (B) f is decreasing on the interval (2, 4). (C) The graph of f has a point of inflection at .x = 2. (D) The graph of f has a point of inflection at x = 0. (E) f has a local maximum at x = 0.

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: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

A:

Q: Make a sign diagram for the derivative of the function. f(x) = x² + 4x³8x² + 52 f'(x) ? 0 f'(x) ?0 X…

A: The given function is

Q: X x+18

A: f(x)=xx+18

Q: By looking at the first derivative, decide which of the curves in the figure below could NOT be the…

A: The given function fx=x3-9x2+24x+1 for x≥0. Using the derivative to decide the graph that is not a…

Q: Suppose the derivative of f is f'(x) = (x + 1)*(x - 2)*(z- 3). On what interval is f increasing?…

A: A function f(x) is said to be increasing in an interval of it's derivative is positive in that…

Q: To create the graph of the derivative we have to remember that "the y-value of each point on the…

A:

Q: Given that f(3) = 2, f'(3) = 5, g(x) h(x) = f(x), then find g'(3), and h'(3) = f(x)

A:

Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: Given equation, ft=5tt+1 Using differentiation by quotient rule, ddxuv=vdudx-udvdxv2 and dxndx=nxn-1…

Q: If a function is continuous and differentiable then its derivative continuous? True O False

A: A function, y=f(x) is continuous, if there are no holes or jumps in the graph of y=f(x) .

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

A:

Q: Find the derivative of the given function. f(x) = (2x² + 2)³(x² - 1)² f'(x) 80x⁹ +64x7 - 96x5 − 64x³…

A: To find the points at which the tangent line is horizontal, we have to find where the slope of the…

Q: Let f(x) = x³ + 9x² (a) Use the definition of a derivative or the derivative rules to find f'(x) =…

A: It is given that fx=x3+9x2-21x+20. The first derivative of fx is f'x=3x2+18x-21 and the second…

Q: a. Find f'(-2) and f"(-2) b. At which value(s) of x does f(x) have a relative extremum on [2,6]?…

A: f' (-2) = 1f'' (-2) = -(1/2)