What are the formulas for differentiation and integration?

Q: |Use the method of Differentiation from first principle to prove that the derivative of the square…

A: let f(x)=x

Q: Write a Formula for Implicit Differentiation?

A: Implicit Differentiation: Differentiate both sides of the equation with respect to 'x' Apply the…

Q: Use logarithmic differentiation to find the derivative of the function. „sin(3x) y = x 3/ = %3D

A: Topic :- Derivative

Q: Give a discussion as to why differentiation and integration are inverse processes. You should…

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Q: 2. f(x) = 3. g(x) = 5 In x – 2* 4. g(x) = 4x³ log, x

A: To find the derivative of the given function. 2). Given function is fx=x2ex. Quotient rule of…

Q: Find the most general anti-derivative or indefinite integral and check the answer by differentiation…

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Q: what are differentiation of exponential functions

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Q: Use the method of Differentiation from first principle to prove that the derivative of the square…

A: Let, y = xSquaring on both sides, we get;y2 = xDifferentiating on both sides, we get;2ydydx = 1dydx…

Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N

A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…

Q: se the first principle of differentiation to find f'(x) for the function f (x)=

A:

Q: When is it necessary to use implicit differentiation?

A: To explain: The necessity to use implicit differentiation: Explanation: Implicit differentiation: If…

Q: Use logarithmic differentiation to find the derivative of y. 3 (4x + 1)(x + %3D 3)2 V x+ 5)(x + 8)

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Q: Differentiate the following functions using differentiation rule

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Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

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Q: =) Give a discussion as to why differentiation and integration are inverse processes. You should…

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Q: Show that (x ln(x)) ‘ = 1 + ln(x) using the Product Rule for Differentiation.

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Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: To find the derivative of the given function.

Q: What is meant by Implicit Differentiation?

A: In implicit differentiation, we differentiate each side of an equation with two variables by…

Q: What is the derivative of * 3lnr?

A: Given that y=3ln x find the derivative

Q: By using first principle of differentiation find f'(y), if ƒ(y) = /My – N

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Q: What are the formulas for differentiation and integration? How are they applied?

A: To write: Formulas for differentiation and integration.

Q: y= (tan x)m*

A: In logarithmic  differentiation method , first we take natural logarithm on both sides of  the…

Q: Describe the Second Derivative Test in your own words

A: A second derivative test is conducted to find the relative maxima and  minima of a given function.

Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

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Q: What are the formulas for differentiation and integration? How to apply those formulas?

A: See the attachment

Q: Find the second derivative by implicit differentiation of 8?2 + 16?2 = 144 at (1, 1)

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Q: Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) y' = || %3D

A: y = x4cosx take both side natural log lny = 4cosx(lnx) now differentiate with respect to x (y')/y =…

Q: add the derivative of sin-1x to the rules of differentiation that you are required to know.

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Q: How do to know which rule to use in differentiation?

A: How do to know which rule to use in differentiation?

Q: Use logarithmic differentiation to find the derivative.

A: y = x+134x-22dydx = ?

Q: Use logarithmic differentiation to find the derivative of y. y= x cos x divided by the square root…

A: Consider the following equation: y=xcosxx+2 Take natural logarithms of both sides:…

Q: 4

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Q: Explain how the Second Derivative Test is used.

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: Given, y=(tanx)1x use logarithmic differentiation or an alternative method to find the derivativeof…

Q: )Use logarithmic differentiation to find the derivative of V3x-7 cos²(x) e (5x² +9)* f(x) = %3D

A: here we use the basic properties of the logarithm Ln(ab)=Ln(a) × Ln(b)Lnab=Ln(a) -Ln(b) andd…

Q: How the processes of integration and differentiation can be considered as inverses of each other

A: It is known that ∫ fx dx=gx+C, where C is some constant whenever g'x=fx.

Q: What are the formulas for differentiation or derivative? When and how to apply those forhmulas?

A: Explanation: General formula of differentiation Power rule: ddx(xn)=nxn-1 Derivative of a constant…

Q: Use Logarithmic differentiation to evaluate f'(x) f(x)=(1+x2)sinx Thanks!

A: To find the derivative of the function  f(x) = (1 + x2)sinx

Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: the given function is: y=xx we have to use the logarithmic differentiation or an alternative method…

Q: Explain in words and express mathematically the inverse relationshipbetween differentiation and…

A: We need to Explain and express mathematical relationship between the differentiation and integration…

Q: Use high-accuracy differentiation formula O(h) to estimate the first derivative of f(x)=log.x.…

A: Consider the given function, fx=logx Here we need to estimate the first derivative of the given…

Q: Discuss how the processes of integration and differentiation can be considered as “inverses” of each…

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Q: Use logarithmic differentiation or an alternativemethod to find the derivative of the function  y =…

A: Given:y=sinxlnx

Q: 3 sin-xe 5%

A:

Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

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

Q: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: Apply logarithmic differentiation given the ff: In x

A: y=xln xtaking ln on both sides ln y=ln xln xlny=ln(x)*ln(x)         ln xa=alnxln y=(ln(x))2…

Q: Apply logarithmic differentiation given

A: Given query is to find derivative using logarithm.

Q: Differentiate the given by implicit differentiation x3 - xy + y3 =1

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Q: LIST DOWN THE FOLLOWING FORMULAS FOR DIFFERENTIATION TECHNIQUES.  1. CONSTANT 2. POWER RULE 3.…

A: We have to write down the following formulas for differentiation techniques. Constant : It is known…

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: