# Calc

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^(2x-1) at the point where x=2.
So to find the derivative of y=e^(2x-1), 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.

1. 👍 0
2. 👎 0
3. 👁 147

## Similar Questions

1. ### 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

asked by Sean on November 1, 2009
2. ### 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

asked by Sean on November 1, 2009
3. ### 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

4. ### calculus

If f(x) = 3 cos^2(x) − 6 sin(x) 0 ≤ x ≤ 2π Find the intervals of increase and decrease, the intervals of concave up and concave down, local maximum values, local minimum values, and inflection point

asked by SIRI on October 17, 2014
5. ### Math-Graphs

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

asked by Max on July 21, 2008
6. ### 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^2-2)/(x) for all x≠0 a). Find all values of x for which the graph of h has a horizontal tangent, and determine whether h has a

asked by Darcy on December 2, 2014
7. ### 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

asked by Amy on February 21, 2011
8. ### one more graph question

Hopefull the last one. :) Sketch the graph of a differentiable function y = f(x) with this property: A local minimum value that is greater than one of its local maximum values

asked by Jen on November 5, 2006
9. ### 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 critical

asked by Gary on March 16, 2015
10. ### Calculus Grade 12 University

Use the second derivative test to find the local minimum and maximum values of each function, wherever possible. A) f(x) = 16/x + x^2 B) s(t) = t^4 - 8t^3

asked by Julie on March 23, 2012
11. ### Calculus

Find the local maximum and minimum values of the following curve within the given domain. y=SECx-TANx 0 ≤ x ≤ 2π

asked by matt on November 24, 2016

More Similar Questions