JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
If x = 1 is a critical point of the function f(x) = (3x2 + ax – 2 – a)ex , then :
- Ax = 1 is a local maxima and x = is a local minima of f.
- Bx = 1 and x = are local maxima of f.
- Cx = 1 and x = are local minima of f.
- Dx = 1 is a local minima and x = is a local maxima of f.
More from Application of Derivatives
- The position of a moving car at time t is given by f(t) = at2 + bt + c, t > 0, where a, b and c are real numbers greater than 1. Then the average speed of the car over the time interval [t1 , t2 ] is attained at the point :2020 · MCQ
- The set of all real values of for which the function has exactly one maxima and exactly one…2020 · MCQ
- Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points. If , then which one of the following is not true?2020 · MCQ
- Let ƒ(x) = xcos–1(–sin|x|), , then which of the following is true?2020 · MCQ
- Let ƒ(x) be a polynomial of degree 3 such that ƒ(–1) = 10, ƒ(1) = –6, ƒ(x) has a critical point at x = –1 and ƒ'(x) has a critical point at x = 1. Then ƒ(x) has a local minima at x = .2020 · Numerical
- A spherical iron ball of 10 cm radius is coated with a layer of ice of uniform thickness the melts at a rate of 50 cm3/min. When the thickness of ice is 5 cm, then the rate (in cm/min.) at which of the thickness of ice decreases, is :2020 · MCQ
- If S1 and S2 are respectively the sets of local minimum and local maximum points of the function, ƒ(x) = 9x4 + 12x3 – 36x2 + 25, x R, then :2019 · MCQ
- Let ƒ : [0, 2] R be a twice differentiable function such that ƒ''(x) > 0, for all x (0, 2). If (x) = ƒ(x) + ƒ(2 – x), then is :2019 · MCQ