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....
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
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)
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.
3x - 8 7) Find a power series for f(x) = 3x2 + 5x - 2 cenu centered at c = 0. Determine the interval of convergence.
The function g is defined by g(x) = 3x2 +7. Find g(5x). 8 (5x) = 0 xo 5 ?
If f(x) = 5x - 2 if - 53x32 , find: (a) f(0), (b) f(1), (c) f(2), and (d) f(6). x3 -2 if2<x56 (a) f(0) = (b) f(1) = 0 (c) f(2)= (d) f(6)=0
X) 3.1.2 - the value of the expression 3x2 -6x+ #x=-5, find CT If x- -5, the value of the expression 3x-6x Type an integer or a decimal) is
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 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).)
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