Identify the most appropriate differentiation rules to be used in finding the derivative of the followingfunctions.y = 1/(x² + 3)5O a. Product RuleO b. Constant RuleC.Chain RuleO d. Sum RuleIdentify the most appropriate differentiation rules to be used in finding the derivative of the followingfunctions.f(x) = [(x° - 1)(x + 4)*I/(x-2)1. Chain RuleII. Quotient RuleIII. Product RuleO a.I and IIIO b. I and l|O c. I, II, and IIId.Il and III

Since you have asked multiple question, we will solve the first question for you as per our guide…

Answered: functions. y = 1/(x2 + 3)5 a. Product…

Math

Calculus

functions. y = 1/(x2 + 3)5 a. Product Rule O b. Constant Rule O c. Chain Rule O d. Sum Rule

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

See similar textbooks

Related questions

Q: ind the first and second derivative of the function. G(r) = Vr + Vr S'(r) "(") %D

A: Given query is to find the indicated derivatives.

Q: Determine if lim f(x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof x2-2x+3. 2....

A: 2. F(x) = (x2 -2x +3)/(x-1)2 ; c= 1 here F(x)≠F(c) , because if we put here value of c = 1 in the fu...

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does no...

Q: Evaluate the integral. 0.8 V 16 - 25x2

A: The given integral is ∫00.8x216-25x2dx

Q: Calculate the integral approximation S12 for Si dz. 5+1

Q: cos* (cos x) COS. dx CSc x

A: Given ∫cos4cosxcscx dx

Q: In tho ciagram above, PQ and R are vectors. Which of the following options gives the correct relatio...

Q: Determine whether the given statement is true or false. {9, 11} ¢ {11, 9} Choose the correct answer ...

A: Statement is false

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t³ – 12t...

A: The objective of the question is determine the velocity , acceleration and acceleration when velocit...

Q: Derivative Calculations In Exercises 1-12, find the first and second derivatives. 4. w = 3z7 – 7z3 +...

A: Derivatives first and second

Q: Determine the slope of the following curve at the given point. 7 3 2 xy +xy = 16,400; (1,16) The slo...

Q: Given: cosg= -, sin x = - 12, e is in the third quadrant, and x is in the fourth quadrant; evaluate ...

Q: Given: cosA= -4, sin x = - ,e is in the third quadrant, and x is in the fourth quadrant; evaluate co...

A: Given:- cosθ= - 4/5 , sin x = - 12/13, θ is in the third quadrant, and x is in the fourth quadrant; ...

Q: Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine ...

Q: 4. Complete each statement: a) The points of inflection are found by solving the to zero. equal b) T...

Q: sec sec |tar xp xp Suea () 2asS

A: We put sec(π/x2)=u and differentiate both sides with respect to u .thus we get du and value of integ...

Q: Given the graph of g(x) on the right: -10- Apply the following transformations below using a transfo...

A: Required formulas: Reflection about the y-axis is : x, y → -x, y. Horizontal stretch by 2 is: x, y ...

Q: 4. At time t> 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 + 9t m...

A: We have to acceleration at the each time where velocity is 0 And total distance from t=0 to t=2

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: The given sequence converges.

Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

Q: 8 EXIF W-f Cxr g), X=2u+3 V 9. y -3u - 2V »Provethat wuv bw xX+5 wXy-6WYY 10 11

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

Q: A Geometric Series is the sum of an infinite terms that the ration of two consecutive terms is a con...

A: We need to prove the following geometric series by induction:1+r+r2+r3+...+rn=rn+1-1r-1

Q: 3 5 Given: cosa = ? and A is located in the fourth quadrant; find tan . %3D tan DIN

Q: Select the best answer. cos( - 1) =

Q: For Problems 27-30, sketch a possible graph of y = f(r), using the given information about the deriv...

A: Note that y'>0 then y is increasing and y'<0 then y is decreasing and y''>0 then y is conca...

Q: Consider the integral -4 dx If the integral is divergent, type an upper-case "D". Otherwise, evaluat...

A: We need to check if series is divergent.

Q: Evaluate the integral. (Use C for the constant of integration.) dx cos(x) – 1

Q: Find the general Selution yer r the equatiJen S/0x)-14 ()+ 0 By(x) = =D0 dlax

Q: 5 Given: cos, = and A is located in the fourth quadrant; find cos %3D 25 V5

Q: the largest open intervals of the domain over which each function is ncreasing, decreasing, and cons...

A: Increasing decreasing

Q: Evaluate the instantaneous rate of change: (Please solve using Limits only) A spherical balloon is ...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t- 15t m...

A: Solution: Here s(t)=8t 3 - 15t

Q: The position of the particle at time t is given by s(t) = ? – 16t + 63. The particle is moving from ...

A: ThepThe of the particle at time t is given by s(t)

Q: 3. ponits Find the surface area of the volume generated when the graph of f(x) = /1+x², on the inter...

Q: Solution of ODE: Find the solution for the following ODE y" +(y)° +1 = 0 O y = In cos( - c1) + c2 y ...

A: I am attaching image so that you understand each and every step.

Q: frined the ivnlervels on which Revee Hincreasig and elecceesing 2)Confaveue emel Concave lown end he...

Q: se the chain rule to find the derivative of f(x)=4√2x3+7x8 Type your answer without fractional or...

A: given f(x)=4√2x3+7x8 f'(x) = dfdx =d42x3+7x8dxwktda+bdx = dadx+dbdx

Q: 11-12: Simplify. 11. cscß(cosß + sinß) 1. 1+sinx 12. 1. 1-sinx

Q: What’s -3 x 5

A: Topic:- algebra

Q: Sind Vhe General Solulion for Uhe eumlion dk2 xp

Q: The figure below shows a function g(x) and its tangent line at the point B=(1.6,8.6). If the point A...

A: NOTE: Refresh your page if you can't see any equations. . the function has a tangent line at point B...

Q: 96 95 4 y3 y2 y1 ye x8 x1 x2 x3 x4 x5 x6 (a) Write an expression involving the values of æ and y = f...

Q: The position of the particle at time t is given by s(t) = t² – 16t + 63. The particle is moving from...

Q: Consider the integral 2 6z² In(z) dz

Q: nvobability density fonction (pdf) How did he get the value inside the circle? unda probability d-f ...

Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

A: We need to test convergence. NOTE - As per our guidelines we can solve only one question from multip...

Q: Solve for B in the given partial fraction: a4-15a-32a2-12z-14 (z+1)(-2)(x+3)(+2) + + + (CE November ...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t ...

A: Topic:- application of derivatives

Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at (-2,0)...

Question

Identify the most appropriate differentiation rules to be used in finding the derivative of the following
functions.
y = 1/(x² + 3)5
O a. Product Rule
O b. Constant Rule
C.
Chain Rule
O d. Sum Rule
Identify the most appropriate differentiation rules to be used in finding the derivative of the following
functions.
f(x) = [(x° - 1)(x + 4)*I/(x-2)
1. Chain Rule
II. Quotient Rule
III. Product Rule
O a.
I and III
O b. I and l|
O c. I, II, and III
d.
Il and III

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here