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Homework Statement
The directions state, Use the definition to differentiate the functions given.
1)f(x)=sqrt 5x. the answer states: (square root 5x)/2x.
The directions state, a. Find the difference quotient of f. and b. f'(c) by comparing the limit of the difference quotient. Also, c is a constant.
2)f(x)=2-x^2 at c=0. the answer states: for a. -h and b. 0
Homework Equations
1) sqrt root5x+sqrt root5h-sqrt 5x/h= sqrt5h/h. This is as far as I have gotten.
2)first, change of x =h, 2-x^2-2xh-h^2-2+x^2/h= h(2x-h)/h=(2x-h).
The Attempt at a Solution
For 1), I have not even came close to the answer said in the book.
For 2), Logically(from other problems i tried), it would be 2x, but as it says above, it is -h and for part b, I believe I have to find part a before I go on to part b. please help
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