Product/Quotient Rule

Match the following

Select ALL of the following methods that can be used to find the derivative of $$f\left(x\right)=x^2\left(x-11\right)$$  

Select ALL of the following methods that can be used to find the derivative of $$f\left(x\right)=\frac{4x^2-10x}{3x^2}$$  

Select ALL of the following methods that can be used to find the derivative of $$f\left(x\right)=\frac{4x^2-10x}{3x^2-1}$$  

Find the derivative.

Find the derivative.

Find the derivative. 

$$y=2x^4+2\sqrt[5]{x}+\frac{2}{x^5}$$  

Given $$f\left(x\right)=10x^2+5x-1$$  write the equation of the tangent line at $$x=1$$  .

Type your answer with NO spaces!

(a)  

Find the value(s) of x for which the function $$f\left(x\right)=-\frac{4}{x}-4x$$  has a horizontal tangent line.

Type your answer(s) with no spaces!

(a)  

Find the derivative of $$f\left(x\right)=\left(1-6x^3\right)\left(2x-9\right)$$  using the product rule.

Type the SUM of the coefficients of your answer below.

(a)