أسئلة الرياضيات

If f(x) = 3 + ax + bx^2 has a critical point (1,4), find a,b in R, then determine the type of the critical point?

If f(x) = ax^2 + bx + 12 has a critical point (-4,4), find the values of a, b in R, then determine the type of the critical point?

If f(x) = x^3 + ax^2 + bx has an inflection point at (1,8), find the values of a, b in R?

If f(x) = ax^3 + bx^2 + 12x has an inflection point at (2,3), find a, b?

If f(x) = ax^3 + bx^2 has an inflection point at (2,-4), find the values of a, b in R?

If f(x) = ax^3 + bx^2 - 9x + c has a critical point at (1,-4), find the values of a,b,c in R?

If f(x) = x^3 + ax^2 + bx has a local maximum at x = -2 and a local minimum at x = 4, find the values of a,b in R?

If the line 7 = 3x - y is tangent to the curve f(x) = ax^2 + bx + c at (-1, 2) and has a local minimum at x = 5, find the values of a,b,c in R?

If f(x) = ax^2 + bx + 1 has a point of contact at (1,5) and the slope of the tangent at that point equals 2, find the values of a, b in R?

If the line 28 = y + 9x is tangent to the curve f(x) = ax^3 + bx^2 + 1 at (3,1), find the values of a, b in R?