To find the intervals in which the function f(x)=6+12x+3x2−2x3 is increasing or decreasing, we will follow these steps: Step 1: Find the derivative f′(x) The first step is to differentiate the function f(x). f′(x)=ddx(6)+ddx(12x)+ddx(3x2)−ddx(2x3) ...
Find the intervals in which the function f given by f(x)=2x2−3xis(a) strictly increasing (b) strictly decreasing View Solution Knowledge Check Find the intervals in which f(x) = sin 3x, x∈[0,π2] is (i) increasing, (ii) decreasing. Af(x) is increasing in [0,π2]f(x) ...
Misc 3 Find the intervals in which the function f given by f(𝑥) = (4 sin〖𝑥 − 2𝑥 − 𝑥𝑐𝑜𝑠 𝑥〗)/(2 + cos𝑥 ) is (i) increasing (ii) decreasing.f(𝑥) = (4 sin〖𝑥 − 2𝑥 − 𝑥𝑐𝑜𝑠 𝑥〗)...
Find the intervals on which the function is continuous. y=3cosθθ+6. Continuous Functions: Suppose two functionsϕ(x)andψ(x)are continuous at all real numbersx. Then the quotient functionϕ(x)ψ(x)is continuous only at thosex−values at which the functionψ(x...
Consider the following function: f(x) = \int_{5}^{x} e^{t^2} \: (t^2 - t -6) \: dt. On what interval or intervals is the function decreasing? Determine the interval(s) on which the function is decreasing: a. (-\infty,-4) and (1,\infty)...
Find the interval on which the functionf(x)=x4−50x2+9is decreasing. Question: f(x)=x4−50x2+9 Increase and Decrease of a function: f′(x) f″(x)<0 Answer and Explanation:1 f(x)=x4−50x2+9 f′(x)=4x3−100x
Find the values of x in the interval (-4,4) at which g is not continuous. Determine the intervals on which the function is continuous. f (x) = 3 x^2 - x - 2 / x - 1, x not equal to 1 0, x = 1 Give the interval(s) on which the function is continuous. h(k...
Find the open intervals where the function graphed below is(a)increasing, or(b)decreasing. (a)List the interval(s)where the function is increasing. Select the correct choice below and, if necessary, fill in the answer box to comple...
Question: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x)=-4x2-32x-21A. The function is increasing on ◻ .(Type your answer in interval notation. Type intege...
In summary, to find the intervals where the function is increasing and decreasing, you would need to find the first derivative and then solve the resulting 3rd order equation. This can be done by creating a sign chart of the first derivative and finding the critical points. One of th...