Using the definition of the derivative at x=c, compute the following derivatives at an arbitrary point?

(a) g(x) = 5x^2

(b) f(x) = 7x^4

(c) k(x) = sqrt x

Please show me the steps cuz I want to learn, not just copying the answer

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- February 1st 2009, 01:57 PMjkamiUsing the definition of the derivative at x=c, compute the following derivatives at a
**Using the definition of the derivative at x=c, compute the following derivatives at an arbitrary point?**

(a) g(x) = 5x^2

(b) f(x) = 7x^4

(c) k(x) = sqrt x

Please show me the steps cuz I want to learn, not just copying the answer - February 1st 2009, 02:06 PMPlato

Now divide out the h's and find the - February 1st 2009, 02:32 PMjkami
- March 1st 2009, 12:41 AMCaptainBlack
No you go g'(x)=the limit=10x, that is the deriviative at the point x is 10x. x is a dummy variable (the logicians have another name for this but I will not bother you with that) it can be replaced with any other symbol denoting a variable, so you also have g'(c)=10c etc.

CB