Derivatives Part 3

Notation Prime D Leibniz

So

Ex1 Find f ’’ with derivative definition !

Ex2 Find

Implicit Differentiation If y=f(x) then implicit differentiation F(x,y)=c is finding dy/dx without first solving the given equation for y explicitly in terms of x Ex. Find dy/dx!

Linear Approximation ex

Differential & Approximation Suppose y=f(x) differentiable at x and dx is differential from x then differential can be defined : dy=f’(x) dx

Let We Play a Game You doing bellow exercise every number with given time You can open your book After all number have finished, who brave one can explained in front Who brave will get  ~ score addition

1 Find dy/dx from :

2. Is the function given by differentiable for all x? If not, where are the function undifferentiable?

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8 Show that the function Not differentiable at 6 and find formula of f’

9 Where is the greatest integerif Not differentiable? Find f ’

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