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Calculus - Derivatives?

0 votes

1) Find the derivative of the function y= 4x - 1 by the delta method. 
dy/dx = 

2) Find the derivative of the function y= 5/x by the delta method. 
dy/dx= 

If you could show your work that would be great. Thank you!

asked Jul 10, 2014 in CALCULUS by anonymous

1 Answer

0 votes

1) The equation is y = 4x - 1.

Delta Method or First Principle:

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Assume h represents small change, then change in x is from x to (x+h)

i.e., x + h - x = h means that the change in x is always the small change.

Then change in y is from y (x )to y (x + h).

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Therefore dy /dx = 4.

2) The equation is y = 5/x.

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Therefore dy /dx = -5/x2.

 

answered Jul 10, 2014 by joly Scholar
edited Jul 10, 2014 by joly

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