Determine if the following piecewise defined function is differentiable at x = 0. 4x- 1, X20 f(x) = + 2x-1, X<0 What is the right-hand derivative of the given function? f(0 +h) - f(0) lim (Type an integer or a simplified fraction.) %3D h 0*

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A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

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Q: Determine if the following piecewise defined function is differentiable at x 0. 2х - 1, x20 f(x) =…

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A: We will find the derivatives.

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Q: Can you please help me step by step with this problem?

A: From the given function:

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A: I am attaching image so that you understand each and every step.

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Q: Can i get help step by step please

A: Given function is

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A: See the attachment.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: