Question 17. Obtain the derivative of the function f(e) = (10x + 9)8/5 in the form A(Ba + C)P, where A, B, C are integers, D is a fraction and B and C have no common factors. B: C = D =

Q: a. What is f'(-1)? b. What is the inverse of the function? c. Find (f-1)' (1)

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Q: y = xe2x

A: We can find the third derivative as below

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: Use the product rule to find the derivative of ?(?) = √?(?2 + 8). The spirit of the  problem is to…

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Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

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Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: 1) Using any of the differentiation rules taught in this chapter, find the derivative of the…

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Q: f(x) = (2x − 1) (x³ — 2) ²

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: Find the derivative. d dx 3x²+1 A ex-3x² +1. (3x³ - 6x) B. ex³-3x² +1. (3x² - 6x + 1) cex³-3x²+1.…

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Q: Find (f-1)'(a) for f(x) = 3x – 3 when a = 0. Enter an exact answer. Provide your answer below:…

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Q: Find the derivative of y with respect to the appropriate variable. y=cosh ¹2√√x+10 O A. B. O C. O D.…

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Q: Use Quotient Rule to find the derivative. x² + x - 2 3x +1: dy 2x+1 A. dx 3x + 1 dy B.…

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Q: 10) Use the product Rule. Find the derivative of f(æ) = (÷+1)(2

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Q: Find the derivative. 4. y = 3x 6x - 7

A: Given  y=3x4+6x3+7 To take derivative , we apply power rule for each term  ddxan=nan-1 Derivative of…