Activity: Let f(x) = (12x³ + 2)(x5 – 2x²), simplify the function by multiplying the terms.After you have multiplied out the terms, compute ƒ'(x) (the derivative of f(x)) you getfrom part 2 using the basic differentiation rules you learned during the last lesson. Check yourclass notes or Section 2.3 from your textbook to remind yourself of what these rules are.

The given function is.The aim is to find the derivative of the function .The derivative formula:

Answered: Activity: Let f(x) = (12x³ + 2)(x5 -…

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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Question

Activity: Let f(x) = (12x³ + 2)(x5 – 2x²), simplify the function by multiplying the terms.
After you have multiplied out the terms, compute ƒ'(x) (the derivative of f(x)) you get
from part 2 using the basic differentiation rules you learned during the last lesson. Check your
class notes or Section 2.3 from your textbook to remind yourself of what these rules are.

Expert Solution

Step 1: Determine the given information:

The given function is $f left parenthesis x right parenthesis equals left parenthesis 12 x cubed plus 2 right parenthesis left parenthesis x to the power of 5 minus 2 x squared right parenthesis$ .

The aim is to find the derivative of the function $f left parenthesis x right parenthesis$ .

The derivative formula:

$fraction numerator d over denominator d x end fraction left parenthesis x right parenthesis to the power of n equals n x to the power of n minus 1 end exponent$