Question 17. Use logarithmic differentiation to find for the implicit function dx (1+x)5 (1– y)** %3D la) _5_ Y 1-x X 4 Inx- 1–x Inx [a] [b] 1-y [e] not in the list 5 1-x [c] 1-y Inx [d] (1-y) Inx-4

Q: Question #4 C9: "Find derivatives using Implicit Differentiation and Logarithmic Differentiation."…

A:

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

A:

Q: Question 8 of 25 > Find the derivative of the function f. 3 √x f(x) = O At

A:

Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

A:

Q: Logarithmic differentiation Let ƒ(x)

A:

Q: Points of inflection Find the x-coordinate of the point(s) of inflection of ƒ(x) = sech x. Report…

A: We have given the function; ƒ(x) = sech x

Q: Question 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

A:

Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: |(25+1)earcsin(=) 4. Use logarithmic differentiation to find the derivative of y = (Your answer…

A:

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Question 9 Suppose 8 (x) = sec-(x²), what is the derivative of g with respect to x? 2x A 8 (x) =…

A: We need to find derivative.

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

A:

Q: Question 9 Suppose 8 (x) = sec-(x2). what is the derivative of g with respect to x? 2 A 8 (x) = x4-1…

A: We have to choose the correct answer from the given options according to the given information

Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function…

A:

Q: > Question 3 of 16 Determine the derivative of the function h with a domain {x | 0 x < T} cot (x)…

A: To find the derivative of the function h(x)

Q: Problem 2 Use logarithmic differentiation to find the derivative to the following: (a) y=xsin (x)…

A: Topic:-  calculus

Q: Use one or more logarithm identities to show that In (2) In(x) for any > Use one or more logarithm…

A: we have to do as per the question.

Q: Note, derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln…

A: We know that loga u(x) can be written as : logau(x) = (ln u(x)) / (ln a) = p(x)

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

A:

Q: Example: Find y de (a) ey sin x = x + xy (b) y = x² sin¬1 (3x² 1) %3D - (c) y = x² (Hint: Use…

A: Differentiate above function with respect to x

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

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

Q: Question 1. Identify the correct description for the formula y'(x) -ky(x - k) + k-?y(x) from the…

A:

Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

A:

Q: Question 8 Use implicit differentiation to find the specified derivative at the given point. Find at…

A:

Q: (x + 2)8(4x – 1) (6x + 6)2 Let f (x) = %3D Use logarithmic differentiation to find the derivative of…

A: SOLUTION-

Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

Q: 1. Determine the x-value where the curve y= 3cosh(2x) has a tangent line parallel to 3x-y 7. State…

A:

Q: In (x + 3* V-1) Differentiate: h(x) %3D Differentiate g(x) = 3x+2 Use logarithmic differentiation to…

A:

Q: QUESTION 7 Using any of the rules we learned, find the first derivative of the function f(x) =…

A: Consider the equation

Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: Question 13. Obtain the derivative of the function f(x) = 2 ln(4x) Enter the answer as a function of…

A: topic - derivative

Q: SOLVE NUMBER 1 USING LOGARITHMIC DIFFERENTIATION AND EVALUATE THE LIMIT FOR NUMBER 2 SHOW THE…

A:

Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

A:

Q: Question 17 Find the function whose derivative is x(xcosx+2sinx)

A:

Q: Question 5 Find the equation of the line that is tangent to the curve y =x' at the point (2,4).…

A:

Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

Q: æ² (x – 8)5 Let f(x) (æ² + 3)² Use logarithmic differentiation to determine the derivative. (2² +…

A:

Q: QUESTION 30 · 0/1 POINTS Find the derivative of y = (2-)". That's not right. -2e*In(2-x)x + e* In(2…

A:

Q: Question 1 Find the derivative of f(x) = 2x +3 Provide your answer below: f'(x) =O

A: Answer and explanation is given below

Q: Question 5 Use the second derivative test to find the relative maxima and minima of the given…

A: The objective is to use second derivative test to find the relative Maxima and minima of the given…

Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

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

Q: Example: 1. Find the derivative with respect to x for the following. a. y= e3x2-1 b. f(x) = ee c. y…

A:

Q: Question 5 * 3 The derivative of the function y = -2x* – 8 + is: a) y' = -8x3 – b) y' = -8x3 – 8- c)…

A:

Q: Question 2: dy a) Find for the following exponential function y = dx - 3e2x+1 -eV b) Using…

A: derivative

Q: (1–2x)3 1+x2 dy Question (4): Find by logarithmic differentiation for f (x) dx

A:

Q: Definite integrals Evaluate the following definite integrals. Use Theorem 7.7 to express your answer…

A: Evaluate: ∫-22dtt2-9

Q: QUESTION 17 Solve the problem. Find the derivative of the function f(x y, z) = at the point (4.-4,…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: