Selected values of the increasing function h
WebThe table above gives values of the functions and their first derivatives at selected values of x. The function h is given by h (x) = f (g (x)) - 6 Explain why there must be a value r for every 1 < r < 3 such that h (r) = -5. Explain why there must be a value c for Work needed for parts c and d Show transcribed image text Best Answer WebThe table above gives values of the differentiable functions f and g and their derivatives at selected values of x. If h is the function defined by h(x)=f(x)g(x)+2g(x) then h^1(1)= A) 32 B) 30 C) -6 D) -16
Selected values of the increasing function h
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WebApr 20, 2024 · About this tutor › Solution: (a) By the chain rule, g' (x) = f' (x^2 - x)* (2x - 1) So g' (3) = f' (3^2 - 3)* (2*3 - 1) = 5 * f' (6) = 5 * 4 = 20 ← Answer (b) Now by the product rule and the chain rule, g'' (x) = f'' (x^2 - x)* (2x-1)^2 + f' (x^2 - x)* (2) g'' (0) = f'' (0)* (-1)^2 + f' (0)* (2) From the given g'' (0) = -1 we have WebThe functions are known as strictly increasing or decreasing functions, given the inequalities are strict: f (x 1) < f (x 2) for strictly increasing and f (x 1) > f (x 2) for strictly …
WebApr 3, 2024 · Let f (x) be a function whose first derivative is. f ′ (x) = 3x4 − 9x2. Construct both first and second derivative sign charts for f, fully discuss where f is increasing and decreasing and concave up and concave down, identify all relative extreme values, and sketch a possible graph of f. WebThe graph of the function f, shown above, consists of two line segments. If h is the function defined by h (x)=∫x0f (t)ⅆt for 0≤x≤6, then h′ (4) is 5 If h (x)=∫x3−12+t2−−−−−√ⅆt for x≥0, …
WebAnd the intermediate value theorem tells us that look, if we're continuous over that closed interval, our function f is gonna take on every value between f of four, which in this case, so, this is f of four, is equal to three, … WebThis function is increasing for the interval shown (it may be increasing or decreasing elsewhere) Decreasing Functions The y-value decreases as the x-value increases: For a …
Web"According to the graph, the range of f (x) is [-2, 4], which is larger than f (0)=0 and f (4)=3." The graph that Sal drew is only one possible graph. All we can say about 𝑓 (𝑥) over 𝑥 ∈ [0, 4] is that it takes on all values between 𝑓 (2) = …
WebDecreasing Function in Calculus. For a function, y = f (x) to be monotonically decreasing (dy/dx) ≤ 0 for all such values of interval (a, b) and equality may hold for discrete values. Example: Check whether the function, y = -3x/4 + … cost of a set of bagpipesWebSelected values of h and its first four derivatives are indicated in the table above. The function h and these four derivatives are increasing on the interval 1 3.≤≤x (a) Write the … breaking and entering with intent michiganWebThe function would be positive, but the function would be decreasing until it hits its vertex or minimum point if the parabola is upward facing. If the function is decreasing, it has a negative rate of growth. In other words, while the function is decreasing, its slope would be negative. You could name an interval where the function is positive ... cost of a service carWebApr 4, 2024 · We use a derivative of a function to check whether the function is increasing or decreasing. Suppose a function f(x) f ( x) is differentiable on an open interval I I, then we … breaking and entering without theftWebThe functions f and g are continuous for all real numbers, and g is strictly increasing. The table gives values of the functions at selected values of x. Х f (x) g (x) 2 3 -6 3 5 N 6 -12 3 9 -4 6 The function h is given by h (x) = f (g (x)) – 3. Explain why there must be a value r for 3 < 9 such that h (r) = -9. 1. cost of a sex changeWebYou then plug those nonreal x values into the original equation to find the y coordinate. So, the critical points of your function would be stated as something like this: There are no real critical points. There are two nonreal critical points at: x = (1/21) (3 -2i√3), y= (2/441) (-3285 … cost of a sewer scopeWebThe functions f and g are differentiable for all real numbers, and g is strictly increasing. The table above gives values of the functions and their first derivatives at selected values of x. … breaking and entering คือ