Calc
posted by Aurora .
1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a local maximum at (2,4) and a local minimum at (0,0)
2. Need someone to explain this. Graph a function f(x) for which:
f(3)=f(5)=0
f'(x)<0 if x<4
f'(4)=0
f'(x)>0 if x>4
f"(x)>0 for all x
I know there is concave up/down, zeros and turning points involved but i'm just unsure how to graph it as listed.
3. Find the equation of the tangent to the curve y=e^(2x1) at the point where x=2.
So to find the derivative of y=e^(2x1), after I use log/ln then what?
On the second, sketch the points you know, and the shapes, then connect them.
on the first..
Take the first and second derivatives. Set the first to zero, an solve for roots at x=2, 0. You can use the second derivative to assist.
On the third. You know the slope (the value of the derivative at x=2)
so y=mx + b you know y, m, x at the point of tangency, solve for b.
Respond to this Question
Similar Questions

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank … 
MathGraphs
graph g(x)=4(x^3)24x+9 on a calulator and estimate the local maxima and minima. the answers are either a)The local maximum is about –13.627417. The local minimum is about 31.627417. b)The local maximum is about 31.627417. The local … 
Calculus
For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = 1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change … 
Calculus
For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = 1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change … 
Calculus  Functions?
#1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = 1, and the graph of f has a point of inflection at x= 2 a.) Find the values of a … 
math
find the values of a and b if the function y=2x^3+ax^2+bx+36 has a local maximum when x=4 and a local minimum when x=5 
calc
How I can to determine the domain and the maximum and minimum local of the following function: f(x)=6sec((pi*x)/8). And I need to graph the function. 
AP CALC. AB
Let h be a function defined for all x≠0 such that h(4)=3 and the derivative h is given by h'(x)=(x^22)/(x) for all x≠0 a). Find all values of x for which the graph of h has a horizontal tangent, and determine whether … 
math
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2) with x ≠ 2. Find all values of x where the graph of g has a critical value. For each … 
Calculus
Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. a.Find all values of x where the graph of g has a critical value. b.For …