find the derivative of y with respect to the givenindependent variable.73.y = log2 5u               74. y = log3 (1 + u ln 3)

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

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

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Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

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

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Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: 20. Find the derivative of the following functions (do not use exponential definitions of hyperbolic…

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Q: Find the derivative Of g(t)=ln(e^-t+2t)

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

A: Given:

Q: 5. Find the 25" derivative of y= In x. 6. Find the 100 derivative of y=e".

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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: Find the derivative of the function  y = ln(coth x)

A: Given that y=lncothx

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: ) 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: C) Find the derivative of y= (1+ x?)* D) Find the derivative of f(x) = log3 5x² + 1

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Q: 2. Find the derivative of each function. Simplify your answers completely. In10 a) y= log 2a.

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Q: ソ= 9+8 e cos e dLinly))= ? Simplified dy = ? %3D de Simprified

A: Explanation of the answer is as follows

Q: xsinx sec (x)

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Q: Find the derivative of the function. y = e-9/x

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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: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: 3(34 to Y= ! 2% e dy

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Q: Evaluate the derivative of the following function. ƒ1t2= ln 1sin-1 t22

A: Here given Function as ft=lnsin-1t2

Q: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

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Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: Find the derivative of y with respect to the given independent variable. y = 4x' log 4x dy (Type an…

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

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Q: Find the derivative of y with respect to the given independent variable. dy dx 5 y = log 16 ex-log…

A: Given y = log16ex - log4x5

Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: 72. y = log3(1 + 0 In 3) %3D

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Q: (b) Find the derivative of y = log,(5x')+log, (sin.x)

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Q: 8) f(x)= T+x²

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Q: 3. Find the second derivative of f (x) = e²/*° and fully simplify your answer.

A: fx=e2x3

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: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

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: 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: Calculate the first-order numerical derivative of the following function for the value x=5, using…

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Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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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?

A: Given function is

Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

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Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function

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

A: Use log rule to evaluate

Q: y=x4Inx

A: Topic = Derivative

Q: 1.) Find the 30th derivative of y = e¯*

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

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: