Question 18 (3 points) The following limit expresses the derivative of which function? "(z) √3x+3h-√3x = lim h h→0 f(x) = √√√3x+h f(x) = 3x f ƒ (x) = √3x + 3h f(x) = √3x

Q: 1. g(x) = 2x+5 3√x

A: given function

Q: Find the derivative of the function.

A: Use the chain and quotient rule of derivative to differentiate the function.

Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

A:

Q: f (x) and g (x) have the following properties. ffx +y) = f(x).flv). fx) = 1 + xg(x). • lim g(x) =…

A: Given: fx+y=fx·fy,fx=1+xgx,limx→0gx=1

Q: TOPIC 1 Higher Derivatives 1-x 1 + X Q. #1 Given f(x)=- , please find derivatives below. Hint:…

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Q: Use the derivative formula below to compute the derivative of f(x) = x2 - 5x. SHOW WORK. You may…

A:

Q: The derivative of a function f(x) at x = a is given by 20+ x - 4 X + 4 lim X→-4 Find f(x) and a.…

A: The derivative of a function  at  is given by .To find .

Q: Let f be a function defined on the closed interval -4sxs4. The graph of f', the derivative of f, is…

A: Let's find.

Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

A:

Q: Using the limit definition of derivative, compute the derivative of the following function. No…

A: by limit definition of derivativesf'(x) =limn→0 f(x+h)-f(x)hf(x) = 3x2-2xf(x+h) = 3(x+h)2- 2(x+h)

Q: 45-46 Use the definition of a derivative to find/"(x) and f"(x). Then graph /. /", and /" on a…

A: We will use definition of derivative to find f'(x) . Then, again use definition of derivative on…

Q: 5. Using the limit definition of a derivative, find f' (x) for the following function: SHOW YOUR…

A: Given function: fx=3x2-8 To find: f'(x) using the limit definition of a derivative. Formula used:…

Q: Question 8 find derivative of f(x). f(x)= 3x²-5x +1 O 6x+1 6x-5 О 6x 6x-4

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Q: Let f(x) be a function. (a) (3 points) Define what it means for f(x) to be continuous at x = a. Use…

A: (a) A function fx is continuous at x=a if and only if limx→a-fx=limx→a+fx=fa exists. Hence, a…

Q: Given selected value of the function f and its derivative in the table below, determine the value 4x…

A: Let assume,

Q: 13. Question: If f(x) is a position function, how could we describe f'(x) and f"(x)?

A: we have f(x) as positional function.

Q: 17. Applying the quotient rule, what is the correct FIRST STEP in finding the derivative of the…

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Q: (a) Hey you. I'm here to remind you that this is the graph of the derivative. Not the original…

A: Let us assume a function f(x). For the function f(x), the rate of change of function is given by the…

Q: Question 1 Use the limit definition to find the derivative of f (x) = 3x - 2x² at x = 3. Then…

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