# calculus

posted by .

find the max point on the graph f(x) = -1/3x^3 + 3x^2 - 5x

• calculus -

The maximum is where the first derivative is zero, provided the second derivative is negative there.

Solve the equation
f'(x) = -x^2 +6x -5 = 0
-(x-5)(x-1) = 0

x = 5 and x = 1 are either maxima or minima. Use the second derivative test to see which is which.

## Similar Questions

1. ### Math- calculus

Given f(x) = x ^ 3 - x ^ 2 -4x +4 Find the zeros of f. Write an equation of the line tangent to the graph of f at x = -1 The point (a,b) is on the graph of f and the line tangent to the graph at (a,b) passes through the point (0,-8) …
2. ### calculus

let f be the function f(x) = x^3 + 3x^2 - x + 2 a. the tangent to the graph of f at the point P = (-2,8) intersects the graph of f again at the point Q. Find the coordinates of point Q. b. Find the coordinates of point R, the inflection …
3. ### calculus

Find the relative max and relative min and the point of inflection, y-intercept for y - x^3 - 9x^2 + 15x. Then sketch its graph.
4. ### Diff Calculus

Find the interval(s) where the function is increasing of decreasing. find the: a) critical value(s) b) critical point(s) c) max. value + max. point d) min.value and min. point e)point on inflection if there is: 1) y=x^4-3x^3+22x^2-24x+12 …
5. ### Calculus

The point (1,-2) is on the graph of y^2-x^2+2x=5. Find the value of (dy/dx) and (d^2y/dx^2) at the point (1,-2). How do I find (d^2y/dx^2)?
6. ### Calculus

1. Given the function f defined by f(x) = x^3-x^2-4X+4 a. Find the zeros of f b. Write an equation of the line tangent to the graph of f at x = -1 c. The point (a, b) is on the graph of f and the line tangent to the graph at (a, b) …
7. ### Chemistry

How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph?
8. ### Chemistry

How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph?
9. ### Chem

How would one be able to identify the lambda max of Cr(III) at a concentration less than 70ppm from a graph?
10. ### Calculus

find an equation of the tangent line to the graph of the function f through the point (xsub0, ysub0) not on the graph. TO find the point of tangency (x,y) on the graph of f, solve the equation ....

More Similar Questions