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WB2.3 - Product and Quotient Rule

Last updated over 5 years ago

8 questions

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Question 1

1.

\frac{d}{dw} \left( \frac{3w-4}{2w+3} \right)

Question 2

2.

Find k'(x) if k(x)=\left(x^{2}+4 \right)\left(3x^{4}-5x+2\right).

Question 3

3.

\frac{d}{dx} \left( g(x)=\frac{x+4}{x-2} \right)

Question 4

4.

Find the derivative of f(x)=\left(4x-1 \right) \left(x-1\right)^{-1}.

Question 5

5.

Find the normal slope at x=2 of f(x)=4x^{3}-2x^{2}-8x+3.

Question 6

6.

Find the tangent slope at x=-2 of f(x)=4x^{3}-2x^{2}-8x+3.

Question 7

7.

Find f'(2) of f(x)=\frac{3x-9}{4x^{2}+2}.

Question 8

8.

Explain the procedure here \frac{d}{dx} \left( \frac{\left(x-1\right)\left(x^{2}+x+1\right)}{x^{3}} \right). (You do not have to find the derivative).