using the definition of the derivative, f' (x) = lim h - 0 {f(x + h) - f(x)} /h for the function f(x) = x^2 - x

a) Use the definition of the derivative to find a formula or f'(x)

b) find the equation of the tangent line to f(x) at x = 3

Question

using the definition of the derivative, f' (x) = lim h -> 0 {f(x + h) - f(x)} /h for the function f(x) = x^2 - x 

a) Use the definition of the derivative to find a formula or f'(x)

b) find the equation of the tangent line to f(x) at x = 3

anonymous · Answer

nice im doing same topic kinda of

anonymous · Answer

im ahead of you in implicit differentiation but i know how to do this hold on

anonymous · Answer

derivative is 2x-1

anonymous · Answer

slope is 5

anonymous · Answer

y-6=5(x-3) solve for your line tanget to x=3

anonymous · Answer

tell me if im wrong

anonymous · Answer

how did you get 2x - 1 as the derivative?

anonymous · Answer

i used power rule but the limit definition is basically change in y over change in x

anonymous · Answer

just plug in the equation into that definition and factor out any xs

anonymous · Answer

yeah we havent learned that and i tried but im not sure how to get rid of the h

anonymous · Answer

i really need a piece of paper. too much work to type it out