Provide an appropriate response.A second derivative will not exist for a function at a point if 
.
A. The first derivative is not defined at the point, the first derivative is discontinuous at the point, the first derivative has a limit at the point; or the function has a vertical tangent at the point.
B. The function is not defined at the point, the function is discontinuous at the point; the first derivative has a peak or a valley at the point, or the function has a vertical tangent at the point.
C. The first derivative is not defined at the point; the first derivative is discontinuous at the point; the first derivative has a corner or similar sharp change in direction at the point; or the first derivative has a horizontal tangent at the point.
D. The function is not defined at the point, the first derivative is discontinuous at the point; the first derivative has a corner or similar sharp change in direction at the point; the first derivative has a vertical tangent at the point.
Answer: D
You might also like to view...
Find the equation of the circle that satisfies the following conditions. Express the final equation in the form x2 + y2 + Dx + Ey + F = 0.Tangent to the x axis, a radius of length 7, and abscissa of center is –8
A. x2 + y2 - 16x - 14y + 64 = 0 and x2 + y2 - 16x + 14y + 64 = 0 B. x2 + y2 + 16x - 14y + 64 = 0 C. x2 + y2 + 16x - 14y + 64 = 0 and x2 + y2 + 16x + 14y + 64 = 0 D. x2 + y2 + 16x + 14y + 64 = 0 E. x2 + y2 - 16x + 14y + 64 = 0
Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.(5x5)(4x2)
A. 20x7 B. 20x10 C. 9x10 D. 9x7
Write decimal notation.
A. 2.87 B. 28.7 C. 0.290 D. 0.287
If ? is an angle in the indicated quadrant, determine whether the given function is positive or negative.II, tan ?
A. Negative B. Positive