Question

what is differentiability ​

Answer 1

Answer:

Hi buddy

Step-by-step explanation:

In calculus, a differentiable function of one real variable is a function whose derivative exists at each point in its domain. As a result, the graph of a differentiable function must have a tangent line at each interior point in its domain, be relatively smooth, and cannot contain any break, angle, or cusp.

Answer 2

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If the Left hand derivative and the Right hand derivative at a point are equal then the function is said to be differentiable at that point.

Others define it based on the condition of the existence of a unique tangent at that point.

Moreover it doesn't stop a curve, with a jump discontinuity but with same slope on both sides of it, from being differentiable.

And lastly, if a function is not defined at a point, then is the function discontinuous there too?

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