Find the derivative of the following functions using the long method.(general process) x=2y/y-1

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Find the derivative of the function. anh 2

A: the given equation is

Q: y' +y = x*

A: Given: y3+y=x4

Q: Find the derivative of the following functions using the long method (limits) (a) x =t-5t- 3 (b) y =…

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Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: Find the derivative of the following functions by applying “Delta Method". Show your complete…

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Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: y = In- e 2x+1

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Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: Find the derivative of the following functions using the long method mits) x = t* – 5t – 3 2

A: Given function is x=12t4-5t-3.

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Find the derivative of the function. %3D y = log |3- 5x| dy

A: Here , we will differentiate y  with respect to X  .

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: find the derivative of the funciton y=xe^(5x)

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Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

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Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (t3/2) + √t

A:

Q: 1. Apply the different rules for differentiation in finding the first derivative of the following…

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Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Find the derivative of the following functions using the long method.(general process) Y=√t

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Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: f(x) = e*

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Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: y = V5х+7

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Q: Find the derivative of the function. f(x) = ln x/(x2 + 1)

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Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: 1 y х — 3 ||

A: Explanation of the answer is as follows

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Find the derivative of the function

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Q: How do I find the derivative of this problem?

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Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

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Q: 4. Find the derivative of the following function. y = x*

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Q: ez Inx II Inx

A: I have used multiplication rule for derivative

Q: Find the derivative of the function

A: Given,

Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: Find the derivative of the function y = csch−1 (1 − x)

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Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

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Q: Find the derivative of the function f(x) = sinh 9x

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Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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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: