Ex 3.2Q11,15&Q17 neededThese are easy questions please solve all mentioned above Needed to be solved correctly in 30 minutes and get the thumbs up please show me neat and clean work for it by hand solution needed Check Your Understanding 3.2Consider the function h(x) = (2x³-5)5+ (2x³-5)4.1. Write h(x) as a composite function, f(g(x)).EXERCISES 3.2Compute f(g(x)), where f(x) and g(x) are the following:1. f(x) =2. f(x)=x-1, g(x) = -Xx + 1²8(x) = x³4. f(x) =x+13. f(x)= x(x²+1), g(x) = √x9. h(x) =1x+1x-3, 8(x)=x+3Each of the following functions may be viewed as a compositefunction h(x) = f(g(x)). Find f(x) and g(x).5. h(x) = (x³ + 8x - 2)²7. h(x)=√4x²1x35x²+16. h(x) = (9x² + 2x - 5)²8. h(x) = (5x2 +1)-1/210. h(x) = (4x - 3)³ +4x - 32. Compute f'(x) and f'(g(x)).3. Use the chain rule to differentiate h(x).Differentiate the functions in Exercises 11-20 using one or more ofthe differentiation rules discussed thus far.11. y = (x² + 5)¹513. y = 6x²(x - 1)³15. y = 2(x³ - 1)(3x² + 1)416. y = 2(2x - 1)5/4(2x + 1)³/4Solutions can be found following the section exercises.17.Given f(1) = 1, f'(1) = 5, g(1) = 3, g'(1) = 4, f'(3) = 2, andg'(3) = 6, compute the following derivatives:19.dxUM12. y = (x4+x²) 1014. y = 5x3(2 – x)418. 1800(20.

Differentiate the functions in Exercises 11-20 using one or more of the differentiation rules discussed thus far. 11. y = (x² + 5)¹5 13. y = 6x²(x - 1)³ 15. y = 2(x³ - 1)(3x² + 1)4 16. y = 2(2x - 1)5/4(2x + 1)3/4 12. y = (x4+x²) 10 14. y = 5x3(2 − x)4

Differentiate the functions in Exercises 11-20 using one or more of the differentiation rules discussed thus far. 11. y = (x² + 5)¹5 13. y = 6x²(x - 1)³ 15. y = 2(x³ - 1)(3x² + 1)4 16. y = 2(2x - 1)5/4(2x + 1)3/4 12. y = (x4+x²) 10 14. y = 5x3(2 − x)4

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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