2. Given: f'(x) = 3x2 +8% -9. Find the function f(x) pass throug (1,6)
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find the vector which describes the direction in which f is increasing most rapidly at (-4, 1) (1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find...
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h - 1 Oh o 3h2 +6hx - h O1 O 3 - 1
9. Find the average value of f(x) = 3x2 - 2x on the interval [1,4]. (8 Points) Hint: Use the formula: favo = 6-a Srca) dx
The function f that satisfies f'(x) = 3x2 +1, f(2)=5 is Select one: a. f(2)=23+ O b. f(x) = 2 + 1 - 5 O c. f(x)=x3 ++2 d. f(x) = 3x2 – 7 O e. None of these. Let f(2) be a function that is continuous on 1, 7] with f(1) =3 and f(7) = 9. Then the Intermediate Value Theorem guarantees that Select one: O a. f'(2)=1 has at least on solution in the open interval (1,7). O...
Use the given definition to find f(A): If R(x) = 40 + 2x + 3x2 + ... + ant" is a polynomial function, then for a square matrix A, RA) = aol + A +1242 + + F(x) = 4 - 9x + x? --13] VA) 11
2. (8 points) Given that f(x) = 3x2 + 5x – 2, evaluate each of the following. Expand and simplify your answer as much as possible and show all steps leading to your final answer. (a) f(-2) (b) f(a + 1) (c) f(x + h) – f(x) h
,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y) ,y)-3x2-5xy + y2 find F 3. or the function (x a) f (x, y) b) fy,(xr, y) c) f(x, y)
Consider the following. f(x) = - *** + 3x3- 1/3 - 3x2 + 8 Find f'(x). f'(x) = Find F"(x). f"(x) = Find the x-values of the possible points of inflection. (Enter your answers as a comma-separated list.) X = Determine the intervals on which the function is concave up. (Enter your answer using interval notation.) Determine the intervals on which the function is concave down. (Enter your answer using interval notation.) Locate the points of inflection. (If an answer...
Tangent and Normal Given the function f(x) = 3x2-1, in the x-y plane Define a unit vector tangent to the function at x = 4: Find a unit vector normal to the function at x 4 Find the radius of curvature (p) at x = 4 where the radius of curvature is defined as d-y dx