Find the value of x for which the function f(x) = 2x3 - x...
Find the value of x for which the function f(x) = 2x3 - x2 - 4x + 4 has a maximum value
2/3
1
- 2/3
-1
Correct answer is B
f(x) = 2x3 - x2 - 4x – 4
f’(x) = 6x2 - 2x – 4
As f’(x) = 0
Implies 6x2 - 2x – 4 = 0
3x – x – 2 = 0 (By dividing by 2)
(3x – 2)(x + 1) = 0
3x – 2 = 0 implies x = -2/3
Or x + 1 = 0 implies x = -1
f’(x) = 6x2 - 2x – 4
f’’(x) = 12x – 2
At max point f’’(x) < 0
∴f’’(x) = 12x – 2 at x = -1
= 12(-1) – 2
= -12 – 2 = -14
∴Max at x = 1
Find the values of p and q such that (x - 1)and (x - 3) are factors of px3 + qx2 + 11x - 6 ...
Factorise completely the expression \((x + 2)^2\) - \((2x + 1)^2\) ...
Given that cos x = \(\frac{12}{13}\), evaluate \(\frac{1 - \tan x}{\tan x}\)...
The distance traveled by a particle from a fixed point is given as s = (t\(^3\) - t\(^2\) - t +...
Find all real number x which satisfy the inequality \(\frac{1}{3}\) (x + 1) - 1 > \(\frac{1}{5}\)...
X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. ...