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2
The equation of the tangent to the curve 2x^2 − y^4 = 1 at the point (−1, 1)
is
x + y = 0
x + y = 2
x − y = 0
x − y = −2
On which interval(s) does the function f(x) = x 4 − 4x^3 + 4x^2 + 6 increase?
x < 0 and 1 < x < 2
x > 2 only
0 < x < 1 and x > 2
0 < x < 1 only
equals
ln |4 + 2 sin x| + C
−2 ln |4 + 2 sin x| + C
ln
2 ln |4 + 2 sin x| + C
A local maximum value of the function is
0
1
e
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
3
2
