HW/osketch y= Logix) f Inverse of its function [y=2 O Sketch y=Log.(x)f Compare i't with y=( the

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

A: Explanation of the answer is as follows

Q: All parts of this problem refer to the function below. y = (3 + 9x)3/x dy a) Use logarithmic…

A: Please rate and feel free to ask any query about any part,  thanks.

Q: Q.NO.3: dy i. Find using logarithm differentiation dx 5 x - 1 x + 1 ii. Find a point on the curve y…

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Q: All parts of this problem refer to the function below. y = (1+ 3x)²/= dy a) Use logarithmic…

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Q: x5e*(4x+3) 5ln x(3-x)2* an equation of the line tangent to the graph of f at x = 1. Consider the…

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Q: dy using logarithmic differentiation if dx Find Vx2 + 8 dy %3D dx

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Q: / Find dy/dx for the followings functions: 1) y = x(x+1)(x-2) (x+1)(2x+3) use logarithmic…

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Q: dy by implicit differentiation, given that e? + 7 ln (x) = y. Find Your answer could involve both x…

A: Given that, By differentiating both sides with respect to x, get The constant multiple rules of…

Q: Q1/ Find dy/dx for the followings functions: 3 x(x+1)(x-2) 1) y = use logarithmic differentiation…

A: From the given problem:   y=xx+1x-2x2+12x+33   Now we can simply write as:   y=xx+1x-2x2+12x+313…

Q: e logarithmic differentiation to find dy/dx. Do not simplify the result. 7x + 1 y = 8х — 2

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Q: (x +1)(x+3)2 is given, find derivative of y. x-1 (hint:you can use logartihm) , x²+1 x+3 x- 2x k dy…

A: The detailed solution of the problem is given in the next step.

Q: a) f'(t) if f(t) = e2sin t – In(t³ + 1) + ve b) if y=x (Use logarithmic differentiation) d) if x-…

A: We have to find the derivatives.

Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy

Q: 3) Use logarithmic differentiation to find the derivative of the function a) y = Vxe&(x? + 1)" Your…

A: We have to find derivative

Q: Question number 8

A: Given,

Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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Q: x-1 8. y = log х+1

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Q: Find the derivative of the given exponential and logarithmic functio 11. y = e-2x²+1 12. A(x) =…

A: To find the derivative of the below functions. y=e−2x2+1 Ax=lnx2+1

Q: (x Find f (x)dx if f(x) = - 1 for x 3 2

A: The equation can be written as- y=x2+15x Taking log to both the sides- logy=5xlogx2+1…

Q: Q: Find for the following functions: - a- y = (cosx)Vx (use logarithm differential) c- csc-/3/5x b-…

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

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos…

A: topic- derivative of a function

Q: y = (2+ 2 - x)* dy Use Logarithmic Differentiation to find dx dy dr Type sin(x) for sin(x), cos(x)…

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Q: Q. Find for the following functions: - a- y = (cosx) (use logarithm differential) C- csc-/3/5x b- y…

A: we have to find the derivative of the following

Q: sin x y = (1+ cos? x)(1+cos x) (Hint: use logarithmic differentiation)

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Q: sin® x(3x + 1) (4хт — 5)°(2л + 3)10" Use logarithmic differentiation to find y' if y

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Q: II. Find dy dx 2. y = Do not simplify your answers. tan ¹(cosh x) (sin²x) (sech x)sec a [use…

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Q: Vx+2 Use logarithmic differentiation to find the derivative of the function. f(x)=- e (3x-1) i ora…

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Q: A-1 In At1 dy e4z+1 Find dx of the function by logarithmic differentiation y a.

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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: 2. (a) Find the derivative y', given: (i) y = (x² + 1) arctan r – x; Answer: (ii) y = cosh(2x log…

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: 1. Find dy given the following. Do not simplify your answers. dx 207 tan-(x2 – sinh 2) y = (cosh r)…

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Q: What is the derivative of y log b ( cos? (ax) ? Note that a and b are real numbers. A - 2 a log ble)…

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Q: Logarithmic differentiation 2x-1 Ex. Find dy/dx: y = (x +2)***

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Q: dy -3 sec" sing logarithmic differentiation, find given that y = dr (4*)(log, 1)sech z

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

A: Given integral is ∫535dxx2-9 . Consider x = 3 sec u.

Q: Use logarithmic differentiation te find the dexivative of « with respect to the given independent…

A: In the question it is asked to calculate the differentiation of y=x(x-2)x2+13. It is also asked to…

Q: Using logarithmic differentiation, Show that y (x) = xa2"e*ħas stationary points other than a = Oif…

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Q: dy Using logarithmic differentiation, find dx NOTE: Express your answer in terms of x only. dy dx =…

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Q: f(x) = log(x)+In(x) %3D 22 - find the derivative value of f(x) at x=1. f'(1) = ? O A) 2+log(e) OB)…

A: f(x)= log (x) + ln(x) We need to find f'(1)

Q: Example: Find de dy (a) eª sin x = x + xy (b) y = x² sin-1 (3x² – 1) (c) y = x* (Hint: Use…

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Q: ((-x)³ cos (5æ) Find the derivative of f(x) = log, using the properties of logarithms. 4x + 10…

A: Let us reduce f(x) first by using the properties of logarithms.…

Q: dy - Find given the following. Do not simplify your answers. da 207 tan-(22 – sinh 2) y = (cosh® x)…

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Q: Find dy/dx for the followings functions: 3 x(x+1)(x-2) )y = use logarithmic differentiation…

A: We use the basic property of logarithm. Ln(ab) =b(Ln(a)) Ln(ab) =Ln(a) + Ln(b) Ln(a/b) = Ln(a)-…

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: dy dx Using logarithmic differentiation, find NOTE: Express your answer in terms of x only. dy dx =…

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Q: Hw/ sketch y= Log!x) Inverse of its function [y=2*] Sketch y=Log (x) f Compave it with y=()* V2

A: Solution :- (1) Plotting y = log2x and y = 2x

Q: Suppose that g(x) is an unknown function but we happen to know that g(0) = e² and g' (0) = e. Now…

A: Given,          Suppose that gx is an unknown function but we happen to know that g0=e2          and…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.