2.4 Product and Quotient Rules

$$18x^{17}$$  

$$x^{18}$$  

$$17x^{18}$$  

None of These

2x² (3) + (3x - 4)(4x)

(3x)(2x²) + (4x² )(3x - 4)

4x² (3)

$$\frac{3}{2x}$$  

$$\frac{3x}{\left(1+x^2\right)^2}$$  

$$\frac{6x}{\left(4+x^2\right)^2}$$  

$$-\frac{6x}{\left(4+x^2\right)^2}$$  

$$-\frac{3}{\left(4+x^2\right)^2}$$  

$$y=3x-3$$  

$$y=-12x+25$$  

$$y=-3x+9$$  

$$y=12x-21$$  

$$y\ '=\frac{-52x}{\left(2x^2-5\right)^2}$$  

$$y\ '=\frac{-28x}{\left(2x^2-5\right)^2}$$

$$y\ '=\frac{32x^3-52x+15}{\left(2x^2-5\right)^2}$$  

$$y\ '=\frac{-10x}{\left(2x^2-5\right)^2}$$  

f'(x)

dy/dx

y'

slope of the tangent line

instantaneous rate of change