(a) For f(x) = 1 4 x 4 − 6x 2 find the intervals where f(x) is
concave up, and the intervals where f(x) is concave down, and the
inflection points of f(x) by the following steps:
i. Compute f 0 (x) and f 00(x).
ii. Show that f 00(x) is equal to 0 only at x = −2 and x =
2.
iii. Observe that f 00(x) is a continuous since it is a
polynomial. Conclude that f 00(x)...
Find f
1)f”(x)=-2+12x-12x(Square), f’(0)=12
F(x)=?
2)Find a function f such that f’(x)=5x cube and the line
5x+y=0 is the tangent to the graph of f
F(x)=?
3)A particle is moving with the given data. Find the position
of the particle
a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16
s(t)=?
(please i need help)
1. Find the critical numbers for the following functions
(a) f(x) = 2x 3 − 6x
(b) f(x) = − cos(x) − 1 2 x, [0, 2π]
2. Use the first derivative test to determine any relative
extrema for the given function
f(x) = 2x 3 − 24x + 7