DERIVE

What main rule should be applied to this problem?
 $\tan\left(4x-2\right)$  

• Chain rule

• Product rule
  

• Quotient rule

• Power Rule
  

Based on the image, where is the slope 0?

• x = -1

• x = 2

• x = 0

• x = 1

What is the derivative for  $\sqrt{4x-3x^2}$  

•  $\frac{\sqrt{4x-3x^2}}{2\left(4x-3x^2\right)}$  

•  $\frac{\sqrt{4x-3x^2}\left(4-6x\right)}{2\left(4x-3x^2​\right)}$  

•  $\sqrt{4x-3x^2}\left(4-6x\right)$  

•  $\frac{\sqrt{4x-3x^2}}{4-6x}$  

Derive  $f\left(x\right)\ =\ 3x^3+4x^2+3$  with respect to x.

•  $9x^2+8x$  

•  $9x^2+8x+3$  

• No derivative

•  $3x^2+4x$  

What is the derivative of  $3x-4t-3x^2+6t^2$  with respect to t?

•  $-4+12t$  

•  $3-6x$  

•  $-4t\ +6t^2$  

• 0

What kind of function would the derivative of the image be?

• Cubic

• Linear

• Quadratic

• Horizontal line

Based on the image, what kind of function would it's derivative be?

• Quadratic

• Linear

• Cubic

• Horizontal

Derive  $\cos\left(3x+5\right)$  with respect to t.

•  $-3\sin\left(3x+5\right)$  

•  $3\sin\left(3x+5\right)$  

• 0

•  $-3\cos\left(3x+5\right)$  

Derive  $\cos\left(3x+5\right)$   with respect to x

•  $-\sin\left(3x+5\right)$  

•  $-3\sin\left(3x+5\right)$  

•  $-3\cos\left(3x+5\right)$  

•  $3\sin\left(3x+5\right)$  

Derive  $e^{\left(5x+1\right)}$  with respect to x

•  $e^{5x}$  

•  $5e^{5x}+1$  

•  $5e^{\left(5x+1\right)}$  

•  $5e^x$