Differentiate the function. f(x) = e5 I can't figure this out thought it would be e^5 but it keeps on saying its wrong.

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: Explain how to apply the First Derivative Test.

A: Explain how to apply the First Derivative Test.

Q: The concavity of a function is described by its second derivative third derivative O first…

A: which option -

Q: What is an instance where a function doesn’t have the same domain as its derivative? Give an example…

A: The domain of a function f(x) is the set of all the x-values for which the given function is…

Q: What derivative tests are available for determining the local extreme values of a function ƒ(x, y)?…

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Q: The average cost per unit, y, of producing x units of a product is modeled by y= 750,000 + 0.55x /x.…

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Q: A cube of ice is melting so that each edge is decreasing at the rate of 2 inches per hour. Find how…

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Q: Differentiate the function. y = etan(θ)

A: Given y=etanθ Use chain rule of differentiation to differentiate the given function.

Q: Sarah is asked to find the maximum value of a function. Not having a complete understanding of the…

A: If we want to find the maximum or minimum values of a function then follows the steps mentioned…

Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: Please solve this question using application of derivatives!!   A conical tank is designed so that…

A: the volume of the conical tank is given by the formula, V=13πr2h where r is the radius of the cone…

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

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

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Q: What is the First Derivative Test for Local Extreme Values? Give examples of how it is applied.

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Q: A farmer wants to fence in 800 ?t2 of land in rectangular plot to be used for different types of…

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Q: Explain how to apply the Second Derivative Test.

A: The second derivative test is used to find the relative maxima or relative minima. The second…

Q: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

Q: y = log4((2x³ – x² + 7)(x² + 4)) %3D -

A: From the property of logarithmic, logab=logeblogea=lnblna So, the given function is:…

Q: Find the derivative of the function. y = x2x + 7     Thank you very much for your help.

A: Find the derivative of the function

Q: Find the average rate of change of f(x) = 5x - 6 on the interval [3, a]. Your answer will be an…

A: Given: -

Q: Explain what happens when the derivative of a differentiable function is zero ?

A: To explain when a derivative of differentiable function is zero.

Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: A. FIND THE DERIVATIVE OF EACH FUNCTION. DO NOT SIMPLIFY YOUR RESULT. et 17. f(x)

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Q: Find the second derivative of the function. No chain rule please, thank you!

A: Given function

Q: erivative

A: We have to write the derivative of  y=15(16x)

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: -e-atp" dt =

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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: Differentiate the function. y = etan(8) y' =

A: The given function is y=etanθ.

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After one hour,…

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Q: 2. Sketch the derivative of the function whose graph is given below. Explain why you drew it the way…

A: We have to draw graph of derivatives function.

Q: Find the derivative of the function. f(x) = ln(2 − x2)   Thank you for your help!

A: Given function f(x) = ln(2-x2). Here we need to find the derivative of f(x) with respect to x.We use…

Q: Find the first derivative and solve for x. Complete solution please.

A: To find: The derivative of y=1+ln xx. Formula used: Quotient rule of derivative: ddxuv=v·u'-u·v'v2…

Q: Use the first derivative test and the second derivative test to determine where each function is…

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Q: Differentiate the function   f(x) = x ln x -x

A: Given: fx=xlnx-x

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: The approximate rate of change in height of a certain shrub in a nursery is given by f ' ( x ) = 13…

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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: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: 3. 2.

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Q: A car is approaching an intersection while a bus on a per- pendicular street is moving away from the…

A: We have to find  how fast the distance between the car and the bus is changing at the moment when…

Q: derivative

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Q: Illustrate the Derivative of Cosecant Function ?

A: Illustrate the Derivative of the Cosecant Function?

Q: Find the first derivative by increment method. Show your complete solution V7x – 12 Upload your…

A: The given function is 7x-12

Q: How can I find the derivative of the above function and For the derivative of f(4), I'd like to know…

A: Consider the given function:…

Q: How would I differentiate the function?

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Q: What is the rate of change of the function

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Q: what is the basic concept of a derivative? How is this derivative calculated? What techniques/rules…

A: Use the definition of derivative

Q: the amount of photosynthesis that takes place in a plant depend on the intensity of light x…

A: Given: The amount of photosynthesis that takes place in a plant depend on the intensity of light x…

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.

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: