Second Order Derivative

If f(x) = x⁴, what is f ''(x) ?

• 4x³

• 9x²

• 12x²

• 16x²

If f(x) = x⁷, what is f ''(x) ?

• 42x⁶

• 7x⁶

• 36x⁵

• 42x⁵

If f(x) = 10x, what is f ''(x) ?

• 0

• 10

• 10x

• 0

• xe^x−1

• x(x −1)e^x−2

If f(x) = √x, what is f ''(x) ?

If f(x) = sin(x), what is f ''(x) ?

• sin(x)

• cos(x)

• -sin(x)

• -cos(x)

If f(x) = cos(x), what is f ''(x) ?

• sin(x)

• -sin(x)

• cos(x)

• -cos(x)

If f(x) = x³ + x², what is f ''(x) ?

• 6x + 2

• 3x + 2

• 3x² + 2

• 3x² + 2x

If f(x) = 5x⁴ − 3x⁵, what is f ''(x) ?

• 40x² − 60x³

• 60x² − 60x³

• 60x² − 45x³

• 60x² + 60x³

If f(x) = (x² + 1)(x² − 1), what is f ''(x) ?

• 4

• 12x²

• 12x² − 4

• 12x² + 4