# math

posted by .

this question concerns the function
f(x)=-2x3+3x2+12x+10

(a)find the stationary points of this function

using the strategy to apply the first derivative test,classify the left hand stationary point found in part (a)

find the y-coordinate of each of the stationary points on the graph of the function f(x), and also evaluate f(0)

## Similar Questions

1. ### Maths

Question – 1: The gradient of the graph of f(x) at any point is,ax^2-12x + 9, and the point,(2,-3),is an inflection point of f(x). (a) Find the value of the real constant, a. Find the function f(x). (b) Find the stationary points …
2. ### Math

Find the stationary points of function E(a,b) = a^4 - 2a^2 + 2b^2 and classify each of these as either a minimum, maximum or saddle point.
3. ### Math (Bob Pursley

i asked about stationary points which came out at (x-3) and (x+1) i am now trying to use the first derivative test to classify the left hand point... (x-3) so picking an xL point of -4 and an xR point of -1 i get this f ' (-4) = 3 …
4. ### Math

find any stationary points of the function g(x) = (2x-3)square root of 5+16x-4x^2 (0 less than or equal to x less than or equal to 4) and use the first derivative test to classify each stationary point as a local maximum or local minimum …
5. ### math

this question concernc the function f(x)=2x^3+15x^2+24x-21. Using the Second Derivative Test ,cassify the right-hand stationary point . please need your help thanks for reading
6. ### maths

(a)(i)use the composite rule to differentiate the function f(x)=(x^2-6x+23)^(3/2). (ii)use the composite rule and your answer to part (a)(i) to show that the function g(x)=(x-2)/(x^2-6x+23)^(3/2) has derivative g'(x)=(5+9x-2x^2)/(x^2-6x+23)^(5/2). …
7. ### calculus

consider the function; f(x)=x^4-3x^2-1 a) Find all the point where f'(x)=0 b) Use the second derivative test to classify the stationary points?
8. ### Please check my Calculus

1. Find all points of inflection of the function f(x)=x^4-6x^3 A. (0, 0) B. (0, 0), (9/2, -2187/16) C. (3, -81) D. (0, 0), 3, -81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original …
9. ### calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?
10. ### Calculus,Stationary Points,First derivative test

Good afternoon, I need a bit of help. So ive got my first derivative which is 6x^2-6x-12 and the stationary points ive found are x=-1 and x=2 at which points the value of the derivative is zero. So im attempting to classify the points. …

More Similar Questions