Let $X$ have the pdf $f(x)=4 x^{3}, 0<x<1,$ zero elsewhere. Find the cdf and the pdf of $Y=-\ln X^{4}$.

Q: . Suppose you are writing an exam and you cannot remember whether the derivative of arcsin(x) 1 1…

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Q: What is the First Derivative Test for Local Extreme Values?

A: What is the First Derivative Test for Local Extreme Values?

Q: Evaluate the second derivative at this critical number.

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Q: On which derivative rule is integration by parts based?

A: Integration by parts is based on product rule of derivative. Mathematically, Product rule of…

Q: Use implicit differentiation to find y' for 5æ y? + In(xy) = Preview 5.

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Q: Use linear approximation to estimate ln(.99)

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Q: Find the derivative of Log(2z³). 2/z 2/2? 1/2? 3/z

A: Answer

Q: Describe the First Derivative Theorem for Local Extreme Values?

A: Describe the First Derivative Theorem for Local Extreme Values?

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 logarithmic differentiation to find the derivativeof the function.

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Q: What are the formulas for differentiation and integration?

A: Differentiation formula: There are many formula available in differentiation. few of them listed…

Q: Explain the derivatives and integration.

A: Solution: Derivatives: Definition of derivatives is , the rate of change of a quantity with respect…

Q: Use forward, backward and central difference to estimate the first derivative of f (x) = In at x =…

A: Given function is fx=lnx and x=3 Step size h=0.01 We have to estimate the first derivative of fx=lnx…

Q: Use differentials to estimate the value. estimate =  exact value =

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Q: why first derivative is zero at local maximum and local minimum of function in an open interval

A: The first derivative is zero at local maximum and local minimum of function in an open interval…

Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

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

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Q: Use logarithmic differentiation to findthe derivative of the function? of an alterative y= (Cos ax)*

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Q: An open cylinder can has an inside radius of 2cm and an inside height of 5cm. use the total…

A: We will estimate the volume of cylindrical metal as following. Inside radius = 2 cm Inside height =…

Q: What are the formulas for differentiation and intergration? When to use them?

A: Query- What are the formulas for differentiation and intergration and describe When to use them?…

Q: what is the differentiate of f(x)=ln x

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Q: 4. Describes the various ways in which integration and differentiation may be viewed as inverse…

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Q: Explain in 200 words the relationship between the secant line, slope of the tangent line, derivative…

A: Given: secant line, slope of the tangent line, derivative of a function using the limit process,…

Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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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: Are critical numbers from the first derivative used in the test for concavity?

A: We have to tell that  critical numbers from the first derivative used in the test for concavity or…

Q: Use logarithmic diffenentiation on an alterative method to findthe derivative of the function?

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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: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width  The length o the printed space…

Q: Which derivative rule is used to derive the Integration by Parts formula?

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

A: See the attachment

Q: What is sign analysis of first derivative?. When a function is said to be increasing, decreasing…

A: As per our guidelines, I have solved the fourth problem. If you want the answer of the fifth…

Q: Compute the derivative. Use logarithmic differentiation where appropriate. dx (6xj8x 8x dx (6x)

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Q: Explain the relationships among the slope of a tangent line, theinstantaneous rate of change, and…

A: The slope of a tangent line of f on x is,msec=f(x)-f(a)x-a

Q: Explain why a positive derivative on an interval impliesthat the function is increasing on the…

A: On an open interval Suppose  is a function on an open interval  that may be infinite in one or both…

Q: show that the function is derivable and that the derivative is continuous.

A: The objective is to show that the given function is derivable and the derivative is continuous.…

Q: Compute the derivative. Use logarithmic differentiation where appropriate. 10 1+ dx 10 1+ dx 10 In…

A: Answer: ddx1+10xx = ln1+10x-10x+10 1+10xx

Q: Find the portial derivative of

A: Follow 2nd step.

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: What is something interesting about integrationa and derivatives? Why is it interesting?

A: Given What is something interesting about integration and derivatives? Why is it interesting?

Q: What is the relationship between the secant line, slope of the tangent line, derivative of a…

A: Solved below

Q: State the First Derivative Test.

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Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: Find the first derivative by increment method. Show your complete solution. V12x – 3 Irolim Exam…

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Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: Give examples of basic integration using exponential rule

A: Give examples of basic integration using exponential rule Let us integrate an exponential function.…

Q: Describe the Derivative of the Natural Logarithm Function?

A: We have asked to describe  the derivative of the Natural Logarithm Function.