Your job is to find some shortcuts for taking derivatives. For example, if the function is of the form y = c, where c is a constant, then you know the graph is a horizontal line, with a slope of zero, and you don't have to even go through the limit gyrations to get the derivative. Do some experimenting with the limit definition on some easy functions to see what you get. When you post a shortcut, you must also post a good portion of the algebraic (or geometric) argument that supports it. No numerical or graphical (calculator) approximations will count as justification — you need to argue with algebra or geometry.

Q: (a) tive of f(r) = r at z = a. Find the value of a given that lim, 8+h)* – 64 represents the deriva-…

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Q: str

A: Here we have,  =limx→∞3x2-9x4+2x2+1

Q: My topic is about Higher Order Derivatives and Optimization for reference. A cardboard box…

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Q: turkey temperatu temperature is 75°F. After 10 minutes, the temperature of the turkey is 172°F, and…

A: Given a condition wherein, "A turkey is removed from the oven when its temperature reaches  and is…

Q: Choose all the necessary steps that you need to include when calculating a derivative algebraically…

A: Given, To choose all the statements that are correct according to problem

Q: find the derivative of the following function 6. y 4 1 2 3 4 5 7 8 9 10 -1 -4

A: Derivative of function from l graph

Q: Use the sum and/or difference rule(s) to find the derivative of the following functions: with…

A: We have to find derivative of given function.

Q: Can anything be said about the graph of a function y = ƒ(x) that has a continuous second derivative…

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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: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

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Q: b. g(x)=√x + ²3 marks) X

A: The solution is given by

Q: Given the graph of the derivative (below) identify when the function (be careful, this is the…

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Q: Q3. Derive the following formula for approximating the derivative f": ƒ™" (x) ≈ (f(x +3h) − 3f (x +…

A: To Derive: f'''(x)≈1h3f(x+3h)-3f(x+2h)+3f(x+h)-f(x). To find: Big-Oh error term from the above…

Q: When dealing with graphs of a function, how would you find the original function graph when given a…

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Q: 15 / 17 116% C. Directions: Solve for the derivative of the following functions using the indicated…

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Q: Find the derivative of the function f(x) x* using the definition of the derivative. No credit will…

A: Given f(x)=x3

Q: Please see the attached image and answer the

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Q: Find a formula for the derivative of the function 2x2 – 3

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Q: Name a function whose derivative is 3x2 – 2x + 5. How many such s are there?

A: Using the antiderivative of functions,