5(=) = 4 Identify the intervals of increase and decrease of the function f(x 1+z2 O A decrease in f(x) occurs for all values of x. O The value f(x) increases on (-0, 0), while decreasing on (0, ) O The values f(x) decreasing on (-∞, 0), while increasing on (0, 0) O An increase in f(x) occurs for all values of x.

Q: y3 f(x) 4. 4. y g(x) 3. 3. 2. 2. 3. 67. (a) (f + g)(3) (b) (f/g)(2)

A: The graph of the functions f and g are

Q: f(x) = 2x³ - 3x² - 36x +14 use f'(x), find decreasing interval

A:

Q: f and g are differentiable functions that sum is a constant ( f (x) + g(x) = k for all x) what can…

A: The sum of two differentiable functions is differentiable.

Q: 49 For f(x) = x − ², x < 0, find (ƒ−¹)'( ), find (ƒ-¹)' ( -5 ) 49 (F-¹) (-42) - (ƒ−¹) 5 help…

A: Topic:- application of derivatives

Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

A:

Q: a = b = g is decreasing on the following interval(s): O (-∞, ∞) O (-∞, c) O (-∞, c] O (c, ∞) O [c,…

A:

Q: x + 4 Let f(x) x + 10 f -'( – 10) |

A: We can find the required answer as below

Q: (-12,3) (-8,2) -24 -16-8 (-24,0) (-28,-2) 4 2 (-4,0) (0,-1) -2 -4 8 (8,-2) (24,2) 16 24 (16,0) (f)…

A:

Q: Example Let f (x) = x³ – ¿xª with domain (-∞, 0). Determine where f is increasing and where f is…

A:

Q: (x+3)2 if xs-1 Let f(x) 2-x, if-11 (x+2)

A: Given function:                          f(x)=1(x+3)2 ,      if x ≤-12-x         if -1&lt; x≤1…

Q: The derivative of f/ of a function is continuous and has two zeros. Selected values of f/ are given…

A: As we know The function f(x) is increasing when The function f(x) is decreasing when

Q: Which of the following intervals is the function f(x) =3x - 20x strictly increasing given its graph…

A:

Q: x + 7 Let f(x)= X - 5 Then f-(x) II

A:

Q: sing the equation f(x) = x3/5 (x-9) A) On what intervals of this equation are concave up and…

A:

Q: x²-4 if x<2 Let f(x)={ x – 2 cx-8, if x2 2 For what value of the constant c is the function f…

A:

Q: Transformation of ₂F₁ : If x < 1 and X X < 1; then: 2 Fi (a, b; c; x) = (1 − x)¯`ª₂ F₁ X (a₁c-bi ₂…

A:

Q: Let f (x) = x3 -6x² + 9x + 18, then f (x) is strictly decreasing in %3D (a) (-, 1] (b) [3, ) (c) (-,…

A: Function is strictly decreasing if f'(x) &lt; 0.

Q: x+1 Determine where the function m(x) = - is continuous. (x - 1)(x– 4) The function is continuous on

A:

Q: f(x)=x4+2x3-72x2+36x-9    f'(x)=4x3+6x2-144x+36    First derivative test f''(x)=12x2+12x-144…

A:

Q: Consider a function f(x) with the following properties: • f(x) is continuous at all values of x…

A: f'(x) &gt; 0 , f(x) increasing. f(x) &lt; 0, f(x) decreasing.f''(x) &gt; 0, f(x) is concave upward.…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.