Find the derivative of Log(z²). 2/22 1/22 1/z 2/z

Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: Compute the first and second derivatives of the following functions. s(x) = ln(x²) (use a law of…

A: We use logarithmic properties

Q: Find the derivative of the following function. w= log 7 (6P-1) dw dp

A: value=?

Q: Find the derivative of t(z)= (Z-2)5

A: fz=z-25z2+iz+12 Now find the derivative of fz f'z=ddzz-25z2+iz+12…

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: Find the derivative of function. g(z) = (e2z + ln z)3

A: Given that: The function is g(z) =e2z + ln z3 .

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

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Q: Find the derivative of the function F(s) = In(9 ln(8s)). F'(s)

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Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: Find the differential of the given function.

A: Given function - z = 1-2v+v4-23Differentiating on both sides with respect to v -dzdv =…

Q: Find the derivative of the following function w= log 7(4P - 1 dw dp

A: Given,

Q: 6. h(x) = 5cos(a)

A: Given function is hx=5cosx To find: Derivative of given function. Solution: Function is hx=5cosx…

Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

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

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Q: Compute the derivative of the following: 3 +. 2.1x 5 g(x) =, 4.

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Q: 11690100 7 -.) f(x) = -x² + 6x + log3(12) 7 cos(8x) i.) f (x) = x5+3

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Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: Find the derivative of the function. 1 + e5x e 5x 3x e

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Q: ) Find the derivative of y for all functions the following (2) y = 3 log3(log, t), %3D

A: We have given function y=3log8log2t Then, dydt=ddt3log8log2t=3ln8log2t1ln2t=3ln8ln2tlog2t

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: Find the derivative of the functions below: In(x) (a) g(x) = log,(x) g'(x) = (b). y- in(6x®)

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Q: Find the derivative of the given log(cot(1-x2))

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Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: Find the derivative of f( x ) = 2* log,(z + 5.5) f'(z) = %3|

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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: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour…

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm…

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

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

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Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

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: Find the derivative of h(x) = e$ec(x-n)

A: dexdx=ex dsec(x)dx= sec(x) tan(x) d(xn)dx=n.xn-1

Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: y = log4 x %3D .y = In(5x2 -4x + 8) %3D

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Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

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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: find the derivative of y with respect to the givenindependent variable. y = log3 r.log9r

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Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: 3. Find the derivative of (x² + 3) (3x – 3)² Y = Vrez+1 Hint: Use logarithmic differentiation!

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Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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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: Find the anti-derivative of g'(x)= log1/2(X)

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

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