Direction: Let y-fpx). Note any pattern and use this to determine the derivative of the other functions. BAK Function Guide Questions: Derivative 1. Based on the pattern, what is the denvative of a function in the form f(x) =xx? We call it the "derivative of f(x) = x2 f(x) -2x ffx) = x3 f(x) = 3x2 ffx) = x4 f(x) = 4x³ a power rule". 2. How does it compare to the previ- ous method (that makesuse of de- rivative definition)? ffx) = x5 ffx) = x6

Q: g(x) = %3D I+3 32C

A: Derivatives

Q: 1. Find the domain and derivative for the function f(x) = 327

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Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: : numbers in the domain of a function that cause its derivative to be zero or undefined.

A:

Q: Explain how the real-world meaning of a derivative is related to the independent (input) and…

A: An independent variable a variable that stands alone and it doesn't change by the other variables we…

Q: II+x8¬¿X₺++*L— 5*7 = (x)ƒ

A:

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: Find the derivative of the function. k(x) = -2(12x²+5) -6

A:

Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: y = -14x+49. X-7

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Q: where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y…

A: here,  y=acc+12dydc=-ac2+11ac-12a(c+12)2

Q: 7. f(x)= (4x²-3x5)7

A:

Q: The derivative of the function f(x)= is 1 -3/4

A: Solution: The objective is to find the derivative of the given function

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: The graph of a derivative function is shown below. Explain what type of function f(x) must be. Use…

A:

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: 22. For each function graphed below, sketch the graph of its derivative. 6f(x) 24 -3 2 a) Before it…

A: We have to sketch the graph of derivative of the given functions.