fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h...
f(x+h)-f(x) Find if f(x)=3x2 + 5x-18 h O A. 6x+5-3h 0 B. 6x +5+h 0 C. 6x+5 O D. 6x + 5+ 3h
Question 8 f(x) = 3x2 + 2 Find f'(x). 0 sqrt(6x) O (3x^2 + 2)^3/2 O 1/sqrt(3x^2 + 2) O 3x/sqrt(3x^2 + 2)
Problem #4: Find the average value of the following function: p(x) = 3x2 + 6x + 3 on the interval 1<x< 7. Problem = 4: Save Your work has been saved! (Back to Admin Page) Problem #5: You are given the following pieces of information: 54 år = -75. I 14 år = -32. $ * rcm) = 82. What is the value of [* f(x) dx ? (Note: When solving this problem, take careful note of the lower and...
Given h(x) = 2x + 9 and f(x) = 1/6x +5 Evaluate the composite function h[f(6)]
1 2) (15 pts) Given g(x) g(x+h)-g(x) use the formula g'(x) = lim 6x+3' h0 h to find g'(x). 3) (15 pts) Given h(x) = -3x2 + 5x + 2, find the equation of the tangent line at x = -2. (Hint: For the tangent line at x = a, find f(a), and f'(a).)
5. Let f(x,y) = 3x2 y - y3 - 6x. (a) Find all the critical points off. (b) Classify each of the critical points; that is, what type are they? (c) For the same function f(x,y), find the maximum value of f on the unit square, 0 SX S1,0 <y s 1.
Find the general anti-derivative for f(x) = 3x2 - 6x + 2 Find the anti-derivative for f(x) = 2x + 4 that passes through the point (3,0).
(1 point) Given the function f(3) = 3x2 + 2x - 3 find the following (a) the average rate of change of fon (-4,1): -7 (b) the average rate of change of f on [1, 2+h]: 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 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...
2. Given: f'(x) = 3x2 +8% -9. Find the function f(x) pass throug (1,6)