Find the derivative and show each step. (g) y = (+3)10(x2 +1)(3 – 5x)7.(h) y = (cos x)".

Answered: (g) y = (x +3)10(x +1)(3–5r). (h) y =…

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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Related questions

Question

Find the derivative and show each step.

(g) y = (+3)10(x2 +1)(3 – 5x)7.
(h) y = (cos x)".

Expert Solution

Step 1: Define the problem.

To find the derivatve of each of the following functions.

$table row cell open parentheses straight g close parentheses space straight y end cell equals cell open parentheses straight x plus 3 close parentheses to the power of 10 open parentheses straight x squared plus 1 close parentheses to the power of 6 open parentheses 3 minus 5 straight x close parentheses to the power of 7 end cell row cell open parentheses straight h close parentheses space straight y end cell equals cell open parentheses cos open parentheses straight x close parentheses close parentheses to the power of straight x end cell end table$