Given the function x + 4 f(x): 6. find the following. (a) the average rate of change of f on [-2,1]: (b) the average rate of change of f on [x, x + h]: ||

Q: Given the function, find the derivative f (x) = -()" 3z 4 3z- 3 12() 3z-4 O None of the Above

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Q: = (x),! %D (b) Use part (a) to find the derivative of f(x). 4 (X)d – (4 + x)f (a) Compute the…

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Q: Consider the function f(x) = x² + 2x - 8. (a) Find a simplify: f(C)-f(1) = (b) Find and simplify:…

A: The given function fx=x2+2x-8. We have to find and simplify the expression fC-f1C-1.

Q: Calculate f""(−1) for f (x) = 3x5 − 2x2 + 7x−2.

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Q: 4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first…

A: As many questions are given and its various subparts, I will solve only the first. Zeroth divided…

Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: Determine the equation of the line tagent to the function f(x)=x(5-x)4 at x=3

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Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Determine (f/g)(x)

A: See the attached file

Q: Refer to the function below and evaluate it where f (7). /(t) = -3 (-3 ( +-1))' + -1

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Q: 4x2-9x+2 Find a functionf such that f'(x) = and f(1) = 0. %3D

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Q: Find the general form of f if f'(x)= -7f(x).

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Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: Find y as a function of tif with y(0)=6, y(0) = 7. Y 400g"-729y=0

A: Given Differential Equation Given y is a function of t