There is strong evidence that the first level of processing what we see is done in the retina. It involves detecting something called edges or positions of transitions from dark to bright or bright to dark points in images. These points usually coincide with boundaries of objects. To model the edges, derivatives of functions such as f(x) = 1 e-ax, x ≥ 0 eax 1, x ≤ 0 need to be found. Use the central divided difference approximation of the first derivative of f(x) to calculate the functions derivative at x = 0.5 for a = 0.24. Use a step size of Ax = 0.125. Express your answer up to five (5) decimal places. Present your solution in your answer sheets.

Q: Example: Find the first and second order derivatives of f(x) = xe* at x=2.5. Compute the percentage…

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Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: What are Partial Derivatives?

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Q: pemplicit derivativeg 3 find y' if y is a function of x .

A: topic - implicit differentiation

Q: Screen Shot 2021-10-05 at 9.01.21 AM.png y = (3 Vx – x2 + 2)x5 33 x9/2 – 7x6 + 10x* 2 - 33 x7/2 –…

A: See the details solution in below

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: What is the derivative of the parabola curve of y=x^2?..

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Q: Compute the derivative of the function f(r) = cos(x) by the difference quotient definition.

A: The given function is fx=cosx.

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: What are the other types of problems where differentation/derivatives concepts are used? Give an…

A: To find the differentiation concepts used used problem and provide an example with solution.…

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: Approximate the derivative of y=x at x=1 by forming small changes.

A: SOLUTION:-

Q: If we had a graph of a half circle that is concave down in the first and second quadrant, what would…

A: If we have a graph of a half circle that is concave down in the first and second quadrants,we have…

Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Sketch the graph of the following function.   Find . dy/dx and d^2y/dx^2 Draw number lines showing…

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Q: Find the value of A B 3 16 fy' if y 314 3 16 In x =e4. when x = e X

A: according to bartleby we do only first part of multiple questions y=xlnxd dx(lnx)=1xd…