BASIC CALCULUS ACTIVITY 2: USE THE CHAIN RULE Direction: Answer the following questions using the Chain Rule. 1. What is the derivative of y = (3x2 + 4x -5)? %3D

Q: Jse the (first principles) definition of the derivative to find g'(x) if g(x) = I+ 2

A: Explanation of the answer is as follows

Q: Find the derivative of the function. e9u y = e9u + e - 36 (" +e")2(e2u – 1 +2–2u)²(6eu – 1 + 6–6«)²…

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Q: Section 2.4: Chain rule In Exercises 9–34, find the derivative of the function.

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Q: Tutorial Exercise Find the derivative of the function. y = e

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Q: Solve the problem. Find the derivative of the function f(x, v, z) = at the point (-6, 6, -6) in the…

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Q: I olny need help with 7 and 8

A: Given the function

Q: How do I find the gradient using exponential curve fitting? i.e. y = a*e^(b*x)

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (3x − 1)−2 f '(x) =

A: Given the function is f(x) = (3x-1)-2, we have to calculate the derivative of this function.

Q: A strip of image is given below. Find its first and second order derivatives. Comment about your…

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Q: Can you help with this question step by step please

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Q: Activity 2: Find the derivative of each of the following functions: a. f(u) = (4u + 5)(7u² – 2u)…

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three…

Q: Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = −5/x

A: Formula       f'(x)=limh→0f(x+h)-f(x)h

Q: Dialysis The project on page 458 models the removal of urea from the bloodstream via dialysis. Given…

A: Derivatives can be defined as rate of change of function with respect to an independent variable.…

Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: Find the derivative of the function. 5х-7 y = 2x + 1 The derivative is y' =

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Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = 1/3x-1   f '(x) =

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] f(x) = x2 + 1 %3D…

A: Derivative of algebraic function:               ddxxn=nxn-1

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? |(fg)'…

A: We have to use chain rule of differentiation.

Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the derivative of the function. u4 + 5Vu f(u) = 5.u? +12. 9u – 15. 7u -14. u - 9 e" + u2

A: Given a function, f(u)=5u7+12×9u-15×πu-9eπ+u4+5uu2 To find the derivative of the above function.

Q: Compute the derivative function  f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 9x2 + x…

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Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 6x2 + x…

A: As per our guidelines we are supposed to answer only one question.Since you have asked multiple…

Q: Activity 2.Solve for the derivatives of the following functions. Write your answers on a separate…

A: topic - derivative of a function    note : As per bartleby guidelines, we are supposed to answer…

Q: . Version 2 of the Chain Rule Use Version 2 of the Chain Ruleto calculate the derivatives of the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

A: The solution for the above question is as shown below.

Q: these are review questions for exam, i was absent when these were covered please help with #9 and…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Practice Exercises Obtain the derivative of the different functions using the definition of the…

A: Note:- This is multiple sub parts questions. According to our company law i can do maximum 3…

Q: 2. Plot/Sketch vr(t) as a function of time t E [-4 : 4].

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: New Tab MyWay E-Learning Tes A elearn.squ.edu.om/mod/quiz/attempt.php?attempt-1030350&cmid%3D487797…

A: 2. We have to find derivative of the given function ecos10x Then,…

Q: Homework: (1) Using the definition of derivative, find the derivative of the following functions:…

A: Given problem is :

Q: Can you help with this question step by step please

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Q: 5. Find the derivative of the function f(r) = (r² + 5)e %3D

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Q: Apply the sum and difference rules to combine derivatives Question Let h(x) = f(x) + g(x). If f(x) =…

A: Consider the provided information about function,

Q: Can you help me step by step?

A: Find the derivative of the function

Q: Find the derivative of the function. 5x-2 y 8x+1 y%3D The derivative is y'=| %3D

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Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

A: Given query is to find the derivative of the expression.

Q: Exercise 4: Let a be a positive number, solve the following IVP y(1) = 8(t – a), y(0) = 0. Note:…

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Q: Write and Discuss the geometrical view point with examples of the following concepts 1. Partial…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Math 1A F21 Online (1) = Homework: Midterm Review Deriv... Que a. Use limits to find the derivative…

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function. 5x -7 y = 2x+1 The derivative is y' =|

A: Consider the function; y=5x-72x+1

Q: Compute the derivative function f'(x) algebraically. HINT [See Examples 2 and 3.] 9x f(x) b (k # 0)…

A: Given:- The function is, f(x)=9xk-b (k≠0) To compute: - Ther derivative of the given function f'(x)…

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative…

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Q: Can you help with this question step by step please

A: Let the given function is of the form:

Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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Q: 4- part 1 Find the derivative of the function f(u) = 4u° 4 - 2u1.8 0.4 %3D = (n),1

A: Differentiate wrt u

Q: y = r3.2 f. y = 1-3.5 е. 22 e first and second derivatives of the following:

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

A: shows f'(x)>0 at first , then f'(x)<0, then again f'(x)>0, then f'(x)<0 So f(x) is…