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
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
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