16. Use logarithmic differentiation to find y'. (a)= (x2 + 1)tan(=) (b) y = (sin (3z))VE

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

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

A: we have to find the derivative of y by using logarithm.

Q: 1 The derivative of the function y = cos V at z e = is equal to 4.

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Q: Can you help me step by step?

A: Given function is

Q: Please I want solution of question 7 with step by step. Many Thanks

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Q: part ii, thank you very much.

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = esin t(ln t2 + 1)

A: The variable is t in this equation  So we will differentiate with respect to t   We will use the…

Q: OFind the second derivative of y = 4Vx + E + 10

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Q: Determine the first derivative of the ff. function y = ln| le* – 1/

A: We have to find the first derivative of the function: y=lnexex-1 We know the property of logarithm,…

Q: Can you help me with this problem step by step?

A: The given function to be derivated is,

Q: find the second derivative of y=ln(e^x+e^-x)

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

Q: Can you help me with this problem step by step?

A: Given:

Q: 3 7 - use logarithm differentiation to differentiate to find y prime (dy). y = x

A: The given function is, y = x.Take log on both sides of the function.

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: Find the differential equaiton corresponding th y= a cos(log x) +b sin(log x) where a and b are…

A: Differential equation formation

Q: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

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Q: for (e3x+y2)5 = sin x cos y, find dy/dx. using implicit differentiation. must show all steps

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Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: find the derivative of ln(3x^2+e^x)

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Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

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Q: Find the 3rd derivative of (1 + 2y)³ + eª (sin² y) - 3y cos(e=? )

A: Given data (1+2y)3+ex(sin2y-ycosex2=3y and find 3rd derivative or d3dx3=?

Q: find the derivative of y with respect to the given independent variable  1. y = 3-x    2. y = 2(s2)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the differential of the function y=xxe2x at the point x=1.

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Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: 1. Find the derivative of the function sin (4x) f (x) = V 3x

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Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

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Q: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

Q: If y- sin x and yn) means "nth derivative of y with respect to x", what is the smallest posilive…

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Can i get help step by step?

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: 7) Find the derivatives in a) y = (1+e')lnt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

A:

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

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

Q: Can you help me with this problem step by step?

A: Given:

Q: Find dy/dx using implicit differentiation: xe^y − y^2 − x^2 = 2 and Find dy/dx using logarithmic…

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Q: Find y' by direct differentiation (with respect to x). y = (5x2 + 6x − 7) ln x   and  y = (e-x)/…

A: Solution -a.)Given function -y = 5x2+6x-7lnxDifferentiating on both sides with respext to x,dydx =…

Q: differentiation

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Q: 9. Find dy/dx using implicit differentiation, °y- xy = 4 |

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Q: 24. Find the first order derivative with respect to x of the function u = log(x+ x .

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

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: Can you help me with this problem step by step?

A: Consider the given function:

Q: Suppose ln (x + 2y) = x4.Use implicit differentiation to find the derivative of y with respect to x.…

A: Differentiate the given function implicitly as follows.

Q: Suppose x6 e-5y = In (xy). Find Y by implicit differentiation. dx

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Q: find the derivative of y with respect to the given independent variable. 1. y = 2^x    2. y =…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: dy Y= x ²x-> メ =人

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Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: 5. Find dy/dx using implicit differentiation given x²y³ + cos y = 0.

A: Definition used -  Implicit differentiation -     It is a rule by which we can find the derivative…