If y=f(x) and the function is known to attain a maximum point at x0, then at the point x0a.f’(x0) <0b.f’(x0) >0c.f’’(x0) >0d.f’’(x0) <0
Question
Solution 1
The derivative of a function gives us the slope of the tangent line at a given point. At a maximum point, the slope of the tangent line is zero. Therefore, f'(x0) is neither less than 0 (a) nor greater than 0 (b).
The second derivative of a function gives us the concavity of the function. If the s Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
If y=f(x) and the function is known to attain a maximum point at x0, then at the point x0a.f’(x0) <0b.f’(x0) >0c.f’’(x0) >0d.f’’(x0) <0
Minimize the function f(x,y)=x-y+2x^2+2xy+y^2 using the Davidon Fletcher-Powell method starting from the initial point (x0,y0)=(0,0)
The slope of a function f(x) is known to be 0 at point x*. The function may not attain extremum point at x*. Select one:TrueFalse
A quadratic function ‒x2 + bx + c attains its maximum value at x = 4. If f(‒8) = 0, then find f(10).
The largest interval (a, b) of k ∈ R,for which the point (0, 0) is the critical point of the function f(x, y) = x2 + kxy + y
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.