Derivative Speed Quiz 3

 $\frac{d}{dx}\left(\ln x^2\right)$  

•  $\frac{1}{x^2}$  

•  $\frac{1}{x}$  

•  $\frac{2}{x}$  

•  $\frac{2}{x^2}$  

 $y=\sin x$  Find y'

(a)  

 $\frac{\text{d}}{\text{d}y}\left(\tan^{-1}\left(2x\right)\right)$  

•  $\frac{1}{1+x^2}$  

•  $\frac{1}{1+4x^2}$  

•  $2\sec^2\left(2x\right)$  

•  $\frac{2}{1+4x^2}$  

find y'

• y = 2 x^-1

• y=2 x^-2

• y= −2x^-2

• y= −2 x^-1

Find the derivative of the given equation
f(x) = 1/x²

• 1/2x
• -2x
• 2x
• -2x^-3

Tags

CCSS.HSA.APR.D.7

Find h'(3)

• -2
• 0
• 1
• 3

Tags

CCSS.HSF.IF.A.2

For a function g(x), if g''(3)= - 8, then g(x) is ____________ at x=3.

• increasing

• decreasing

• concave up

• concave down

What is f'(x) if f(x) = cos(5x⁴)?

• f'(x) = sin(20x³)
• f'(x) = 20x³ sin(5x⁴)
• f'(x) = -sin(20x³)
• f'(x) = -20x³ sin(5x⁴)

 $\frac{d}{dx}\left[\sin\left(x^3-2x\right)\right]=$  

•  $\left(3x^2-2\right)\cos\left(x^3-2x\right)$  
  

•  $-\left(3x^2-2\right)\cos\left(x^3-2x\right)$  

•  $\cos\left(3x^2-2\right)$  

•  $\sin\left(3x^2-2\right)$  

• secx tanx
• sec²x
• cscx cotx
• -cscx cotx

Tags

CCSS.HSF.TF.C.8