73 82,419 Question 3 (4 points) Which of the following can be the derivative of f(x) = 4x². (4x2+8xh+4h2) - 4x² A) lim h→0 C) lim 014 h 4x²+2xh+h² - 4x2 h Write your answer as A, B, C, or D. Question 4 (5 points) 신 MacBook Pro B) lim h→0 4x²-2xh-h2-4x2 h D) lim h→0 (x + h)² - 4x2 h O N W X

Q: Differentiate the function f(x) = 7√x - 2. (Use symbolic notation and fractions where needed.) 7…

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Q: Set f(x)= sin x. Show that finding f'(0) from the definition of derivative amounts to finding sin x…

A: f(x) = sinx

Q: ax

A: Given: ∂∂xxa-ax for finding derivative of given function, we use property given below ddxxn=nxn-1

Q: Find the derivative of 4Inloge*

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Q: Which among the following functions has the derivative of de = (9z - 452 + 272) ( - 2) + (= - 2)*…

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Q: Which defines as the process of finding the derivative of a function? *

A: Here, to tell which defines as the process of finding the derivative of a function.

Q: Let x + 2 f(x) x + 6 1( – 10) - -

A: Given f(x)=x+2x+6

Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: Find derivative of f(x Onone of these (6x²-x)/(2x³ -x) (2x³ -x)/(6x²-1) O (6x² -1)/(2x³ -x)

A: we shall use thatddxlnx=1x and ddxf(g(x))=f'(g(x))*g'(x)

Q: Show that for any real constants a and b, where b > 0, (n + a)» = ©(nº)

A: To show for any real constants a and b where b > 0, n+ab=Θnb

Q: how to get derivative of 2(x+(16/x))

A: The objective of the question is to find the derivative of the function 2(x+(16/x)). The derivative…

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: derivative af. inccosu) where n-782 Find

A: We have to find the derivative

Q: Show that the GHASH function calculates (X1 • H™) Ð (X, · H"-1) © O (Xm-1° H²) O (Xm· H) ...

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Q: Find the derivative. Quo x-5 g(x) = xe* %3D d1ベ-5 xex (re*(x-5) - (x AV

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Q: fill in the boxes with the missing exponets  (5^()x^()y^(-2))/(xy^())=(x^(2)y)/(25)

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Q: Find the second derivative of the function. 1x)-(3x²³ +7) Op 63x (7 + 3x) 5 (14+63x³) = f" - 63x (7+…

A: given function is f(x)=(3x3+7)7

Q: 6) - secx tanxd x

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Q: If (-7,6) is a point on a one-to-one function f(x), what has to be a point on f^(-1)(x) ?

A: The given problem is to find the point on inverse function of f(x), that is f -1(x). Given (-7,6) is…

Q: Find the derivative using the long method 3-t to

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Q: D°(sinx – cos x +3e* +.

A: Let F(x) = sinx - cosx + 3ex + x5 then D(F(x)) = cosx + sinx + 3ex + 5x4D(D(F(x)) = Dcosx + sinx +…