Answered: Q. No. 2: (a) Use logarithmic…

Q. No. 2: (a) Use logarithmic differentiation to find the first derivative of the given function.(3) V5t + A 1– 9cos (4t) h(t) VE2 + At Answer: Paste pictures of solution here

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...

See similar textbooks

Related questions

Q: e cos e d (Inly)) = ? %3D do Simplity dy= ? de Simplity

A: Explanation of the answer is as follows

Q: Q1:- Find the first order derivative of each of the following functions: e) y = 1 + x'nx

A: Given that y = 1 + xlnx . We find its first derivative. We know that d(xn ) /dx = nxn-1 Here i…

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

Q: - 5z(2® + 6) Let f(z) (z + 8 Use logarithmic differentiation to determine the derivative of f.

A: We know ln(ab) = ln(a) + ln(b) lnab = ln(a) - ln(b) lnab = b ln(a)

Q: (x² +1)° {2x+1 V3x? +4 4. Use Logarithmic Differentiation to find the derivative dy / dx for y =-

Q: 5. Use logarithmic differentiation to find the derivative of these functions. (a) y = /Te* (x² +…

Q: How do you solve questions 1 and 2?

A: Logarithmic differentiation – When there is x or a function of x is in the exponent of any number or…

Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: Q. No. 5. Find the Derivative of the Given functions

Q: (A) Find an equation of the tangent line to the graph of f(x)=(4x+1)sin(πx) at the point whose…

Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

Q: e2= (x² + 1)² 2/rª – 1 3. Find the derivative of y = ln Make any obvious simplifications. -

Q: cos (z) V32 + 7 (3x+ 1)52x + 5 7. Use logarithmic differentiation to find the derivative of f(x) =…

A: In logarithmic differentiation first we take logarithm on both sides of the given function and…

Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: (b) Calculate the derivatives of the following functions. (i) y = e5x (ii) y = etan 3x (iii) y =…

A: derivative

Q: x²+x+4 What is the first derivative of r(x) = log, x°cos x

Q: Find the equation of the tangent to the graph xey +y-2x = In 2. %3D Evaluate the derivative of the…

A: Since you have posted multiple questions but according to guidelines, we will solve first question…

Q: Compute central difference approximations for the first derivative of the function, y = log(x? +…

Q: Find an equation of the tangent line to the graph of the function y = log10 2x, at the given point…

A: Given:y=log10 2x through the given point 5, 1Equation of tangent line:y-y1=mx-x1Slope:dydx=f'x=m

Q: 10) Find the derivatives of the following functions a) y = In√x²-7 -7- b) Use logarithmic…

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: CL Activity # 4 # 19 III. Find the derivative of the following using implicit differentiation. 19. e…

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take the logarithm on both…

Q: y=24x dy/dx=_____? 2. Find the derivative of the following function. A=860(1.610)t A'=_____?…

Q: Find the derivative of the following function 1. y= -3^(2x-4) 2. y= x log10 x

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: 1. Find ALL THE DERIVATIVES of the function: f (x) = 2x7 – a5 + 5a³ – 8x + 4 2. Use logarithmic…

Q: хр 8- X 8 + X Find the derivative of y with respect to x. dy In 7 y 3 log 7 |3|

Q: Q/3: Use logarithmic differentiation to find the derivative of y with respect to the given…

A: .

Q: Q4. Use logarithmic differentiation to find y'. Vx²-1-sin x 3 x+2 (i) y = xsecx (ii) у %3D (iii) y =…

Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log 6 7x² 5. y = - 5 log 7…

A: Use the chain rule of differentiation to derivate y. Chain rule is used which is as follows- (i)…

Q: Find the derivative of the function. y = log 6 V3x+7 3. O A. In 6 3 In 6 O B. 3x +7 In 6 (3x + 7) 3…

A: Given, y = log63x + 7Applying the log rule; logab = lnblnay = ln3x + 7ln6Differentiating with…

Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) = -M1+ tanh 2 satisfies the…

Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

Q: Find the derivative of the logarithmic function. y = In 6 + e 6- e*. Step 1 The given function y =…

A: We will derivate the function step wise as asked in the question.

Q: 2. Find the derivative of each function a) y=(2x+5)/(3x-2) b)f(s)=((square root of s)-1)/((square…

Q: What is the derivative of the given logaithmic function y = log3 (2x“)? 2 In (3z) 2 A. æ In (3) 2 В.…

A: Let's find.

Q: Can you help me step by step?

A: Given function is

Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: 1. Use logarithmic differentiation to find the derivative of y=(sinx)^cosx 2. A particle is moving…

A: Given that : y = (sinx)^cosx. Find logrithmic differentiation to find the derivative. Here i…

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

Q: 3. Find the derivative of y = | (12 +1) dt.

Q: y' of y = *(1-x²)² (1+x²)7 using logarithmic differentiation

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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

Q: 1- Find the first derivative of y with respect to x for the following functions: In5 7x y = log5 . a…

Q: 4. Calculate the derivative by the logarithmic differentiation and then calculate g' at the…

A: Use log rule to evaluate

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

registration no=130

A is representing the first digit and B is representing the second digit of your
registration number, ie, if your registration number is FA20-BSE-047 then
the value of A is 0 and the value of B is 4.
Q. No. 2: (a) Use logarithmic differentiation to find the first derivative of
the given function.(3)
V5t + A 1- 9cos (4t)
h(t)
%3D
Vt2 + At
Answer: Paste pictures of solution here
(b) Find by implicit differentiation.
dy
(2)
cos(x + Ay) + xev
(c) In the following assume that x, y and z are all functions of t. Given x
= 4, y=-2,z=1, x'=9 and y'=-3 determine z' for the following equation.
(2)
x(1 – y) + 5z' = y*z' + x² – B

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

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.