If y = x², what is the second derivative d²y/dx²?
A
0
B
1
C
2
D
2x
Analysis & Theory
dy/dx = 2x, then d²y/dx² = 2.
If y = sin(x), what is d²y/dx²?
A
cos(x)
B
-sin(x)
C
-cos(x)
D
sin(x)
Analysis & Theory
dy/dx = cos(x), then d²y/dx² = -sin(x).
If y = eˣ, then d²y/dx² is?
A
0
B
1
C
eˣ
D
2eˣ
Analysis & Theory
dy/dx = eˣ, so d²y/dx² = eˣ.
If y = ln(x), then d²y/dx² is?
A
1/x
B
-1/x²
C
1/x²
D
-1/x
Analysis & Theory
dy/dx = 1/x, so d²y/dx² = -1/x².
If y = cos(x), what is d²y/dx²?
A
-cos(x)
B
-sin(x)
C
cos(x)
D
sin(x)
Analysis & Theory
dy/dx = -sin(x), then d²y/dx² = -cos(x).
If y = x³, what is d²y/dx²?
A
3
B
6x
C
9x²
D
3x²
Analysis & Theory
dy/dx = 3x², then d²y/dx² = 6x.