Homework Statement
If y^2 - 2xy=21, then dy/dx at the point (2,-3) is ?
Homework Equations
y^2 - 2xy=21
The Attempt at a Solution
I know that I have to differentiate the function. I just do not know how to do it: implicitly or explicitly.
Oh, so because at the min pt is at (3,-9), I just have to shift the graph up so that the min pt would be (3,11). This means that the k value would have to be 20, right?
Homework Statement
Let f be a function given by f(x)= x^3 - 5x^2 + 3x + K, where k is a constant. Find the value of k for which f has 11 as it's relative minimum.
Homework Equations
f(x)= x^3 - 5x^2 + 3x + K
The Attempt at a Solution
First, I found the derivative of f(x), found...
Homework Statement
The function y=x(to the forth)+bx(squared)+8x+1 has a horizontal tangent and a point of inflection for the same value of x. What must be the value of b?
Homework Equations
I think you have to find the derivative, set it equal to 0 and solve for x
The Attempt at a...