Find and simplify for the function f(x) = 6x2-12x + 9 6(a +h2 - 12(a +h)...
Find the function (fo h) and simplify. f(x) = 7x + 10, h(x) = Vx+6 (fo h)(x) = 12 (Simplify your answer.)
Consider the function f(x) = 2x + 6x2 - 144x + 6. For the following questions, write inf for 0, -inf for --O, U for the union symbol, and NA (ie. not applicable) if no such answer exists. a.) f'(x) = 6x^2+12X-144 b.) f(x) is increasing on the interval(s) c.) f(x) is decreasing on the interval(s) d.)f(x) has a local minimum at NA e.)f(x) has a local maximum at NA f.)f"(x) = 12x+12 g.)f(x) is concave up on the interval(s)...
f(x +h)-f(x) By determining f'(x) = lim h h0 find f'(5) for the given function. f(x) = 6x2 f'(5)=(Simplify your answer.)
1. Calculate f(x + h) 2. Calculate f (x+h)-f(x) 3. Simplify f(a+h)-f(x) 4. finish up with the limit Given f(x) = x2 - 12x, use lim f(x + h) - f(x) to find the slope of a tangent line this this function when x= 3. h
19. f(x)=4x3- 15x2 18x+ 20 3 (a) Find f'(x) Simplify and factor completely. )12x- 3ox-18 Find f(x) (b) Simplify and factor completely. ( 1.F Intevas are 242-30 (c) Find the intervals where the function is increasing and where it is decreasing. Use interval notation. : 24y-30 O 12 -30x-18O ,3 (-0,). 3). 39 -15 12 3 C 3, 00) 24 -) f is INC on: f is DEC on: Chrek Find the relative extrema of this function if they exist....
Find the average rate of change for the given function. f(x) = x + 12x between x = 0 and x = 5 The average rate of change is . (Simplify your answer.)
1. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = x2 − 3x + 5 2. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = −6x + 4
Please show steps, I'm rather
lost.
f(x + h) – f(x) Simplify the difference quotient for the given function h f(x) = 6x2 - 5x + 5 f(x+h)-0 f(x+h)-f(x) = h (Simplify your answer.)
2. [-12 Points] DETAILS Given: f(x,y) = 6x2 - 2xy Find: f(3,2)= f(3,-6) =
f(x +h)-f(x) For the function f(x) = 2x - 6, construct and simplify the difference quotient - The difference quotient for f(x) = 2x - 6 is