The maximum slope of the curve y = - x3 + 3x2 + 2x - 27 is
5
- 5
None of these
A.
5
Given, y = - x3 + 3x2 + 2x - 27
Thus, z is maximum for x = l and the maximum value of z is given by
z = - 3 + 6 + 2 = 5
If , then
f(x) is continuous and differentiable for all x in its domain
f(x) is continuous for all x in its domain but not differentiable at x = ± 1
f(x) is neither continuous nor differentiable at x = ± 1
None of the above
Let f(x + y) = f(x) f(y) and f(x) = 1 + sin(2x) g(x) where g(x) is continuous. Then, f'(x) equals
f(x) g(0)
2f(x) g(0)
2g(0)
None of the above
For the curve y = xe, the point
x = - 1 is a point of minimum
x = 0 is a point of minimum
x = - 1 is a point of maximum
x = 0 is a point of maximum