(E)
The equation of the tangent to the curve 2x^2 − y^4 = 1 at the point (−1, 1) is
(A) y = −x
(B) y = 2 − x
(C) 4 y + 5x + 1 = 0
(D) x − 2y + 3 = 0
(E) x − 4y + 5 = 0
On which interval(s) does the function f (x) = x^4 − 4x^3 + 4x^2 + 6 increase?
(A) x < 0 and 1 < x < 2
(B) x > 2 only
(C) 0 < x < 1 and x > 2
(D) 0 < x < 1 only
(E) 1 < x < 2 only
(A)
(B)
(C)
(D) 2ln|4 + 2sinx| + C
(E)- A relative maximum value of the function is
(A) 1
(B) e
(C)
(D)
(E) none of these- If a particle moves on a line according to the law s = t^5 + 2t^3 , then the number of times it
reverses direction is
(A) 4
(B) 3