derivative test

Find the second derivative of the polynomial...

• 12x + 6

• 6x² + 6x

• 12x + 6x

• 2x² + 6x

Find the second derivative of the polynomial...

• 6x + 6

• 6x + 2

• 6

• 6x

Find the second derivative of the polynomial...

• 18x + 4

• 9x² + 4x

• 9x + 6

• 12x + 4

Find the second derivative of the polynomial...

• 4x - 5

• 4x

• 4

• 4x - 6

Find the second derivative of the polynomial...

• 16 - 8x^-3

• 16 + 8x^-3

• 8 - 4x^-2

• 16 + 8x^-2

Let y = (x-1)³ then y' =3(x-1)².

Find y''.

• 3(x-1)

• 6(x-1)

• -6(x-1)

Find the second derivative of the function:
f (x) =  2x - 5x⁶

• f ''(x)= 2 - 30x
• f ''(x) =  2-30x⁵
• f ''(x) = -30x⁵
• f ''(x) = -150x⁴

Differentiate

 $y=3^{\left(x^2-1\right)}$  

•  $x^2\left(\ln3\right)\left(3^{x^2-1}\right)$  

•  $\left(\ln3\right)\left(3^{x^2-1}\right)$  

•  $\left(2x\right)\left(3^{x^2-1}\right)$  

•  $2x\left(\ln3\right)\left(3^{x^2-1}\right)$  

Find  $\frac{\text{d}y}{\text{d}x}$   if  $y=e^{\sin\sqrt{x}}$  

•  $\left(\cos\sqrt{x}\right)e^{\sin\sqrt{x}}$  

•  $\frac{e^{\cos\sqrt{x}}}{2\sqrt{x}}$  

•  $\frac{\cos\sqrt{x}}{2\sqrt{x}}\left(e^{\sin\sqrt{x}}\right)$  

•  $\left(\sin\sqrt{x}\right)e^{\left(\sin\sqrt{x}-1\right)}$  

 $f\left(x\right)=\sqrt{5+e^{2x}}$  

Find f'(x) for

•  $\frac{1}{2\sqrt{2e^{2x}}}$  

•  $\frac{e^{2x}}{\sqrt{5+e^{2x}}}$  

•  $\frac{5+e^{2x}}{\sqrt{5+e^{2x}}}$  

•  $\frac{xe^{\left(2x-1\right)}}{\sqrt{5+e^{2x}}}$