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$$3x^2$$  

$$2x^2$$  

$$x^2$$  

$$6x$$  

$$3x$$  

y' = 1

y' = 0

y' = 2x

y' = $$x^2$$  

$$y'=-\frac{1}{x^2}$$  

$$y=\frac{1}{x^2}$$  

$$y'=1$$  

$$y'=x$$  

$$y'=-x$$  

$$y''=8x$$  

$$y''=8$$  

$$y''=4x$$  

$$y''=4$$  

$$y'=18x^2$$  

$$y'=18x^2+\frac{18}{x}$$  

$$y'=6x^2$$  

$$y'=6x^2+\frac{18}{x}$$  

x = 1

x = 2

x = -1

x = -2

$$y'=3\left(7x^3-5x^2\right)^2.\left(21x^2-10x\right)$$  

$$y'=\left(7x^3-5x^2\right)^2.\left(21x^2-10x\right)$$  

$$y'=3\left(7x^3-5x^2\right)^2$$  

$$y'=3.\left(21x^2-10x\right)$$  

$$\left(\frac{u}{v}\right)'=\frac{u'v-v'u}{v^2}$$  

$$\left(\frac{u}{v}\right)'=\frac{u'v+v'u}{v^2}$$  

$$\left(\frac{u}{v}\right)'=\frac{v'u-u'v}{v}$$  

$$\left(\frac{u}{v}\right)'=\frac{v'u-u'v}{v^2}$$  

$$\left(uv\right)'=u'v+v'u$$  

$$\left(uv\right)'=u'.v'$$  

$$\left(uv\right)'=u'.v'+2uv$$  

$$\left(uv\right)'=u'+v'+uv$$  

$$y'=-\frac{7}{\left(x+3\right)^2}$$  

$$y'=\frac{7}{\left(x+3\right)^2}$$  

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

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