Question

Asked Mar 28, 2019

Consider the function q(x)=x^{11} −3x^{10} +2. Use the second derivative test to find the x-coordinates of all local maxima. If there are multiple values, give them separated by commas. If there are no local maxima, enter ∅.

Step 1

To find the *x*-coordinates of all local maxima using the second derivative of the function.

Step 2

The given function is *q*(*x*) = *x*^{11}–3*x*^{10}+2.

Step 3

*Second derivative test:*

Let *f *be a real valued function defined and twice differentiable on an interval which contains a real number *a* as an interior point. Suppose that f′(a)=0, then:

(i) If *f*"(a)>0, then *f* has a local minimum at *a.*

(ii) If *f*"(a) <0, then *f* has a local maximum at *a.*

Use the above mentioned seco...

Tagged in

Q: Please help!

A: Recall the quotient rule for derivative:

Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...

A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0 is the maximum char...

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: The given curves are y=x, y=4x, y=16.The graph of the region formed by these curves is,

Q: 2,3,4

A: (2) Evaluate the limit as follows.Substitute x = 2 and y = 3 in the given expression.

Q: find the volume aquired by taking by region bound by y=x^2 and y=x^4 and rotating it around x=-1

A: To calculate the volume bounded by the curve y=x2 and y=x4 which is rotating about the line x=-1. No...

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include "...

A: The given differential equations is y′=−6x+3.

Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)....

Q: Help with #4

A: Click to see the answer