Find the domain of this function: f(x) = e^x - e^-x

Q: Arctan(x) ln(x^3 + 2) find the derivative    F(x) = arccos(3x^2) find the derivative

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Q: three-point formula to approximate

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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

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Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

A: Here, By taking derivative Now, find a critical point by considering y’=0

Q: • Why do we need the Chain Rule in implicit differentiation? Show with an example and describe how…

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Q: Find the most general antiderivative of the function.(Check your answer by differentiation.)

A: To find the antiderivative we integrate the given function c=integration constant

Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

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Q: Differentiate the function. f(x) = ln  7   x f '(x) =

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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: valuate the second derivative of the function at the given point. Use a computer algebra system to…

A: The derivative of the square root function is calculated using the formula ddxxn=n·xn-1. The value…

Q: Calculate root and error %. Find the root of the equation fx=ln(x)-5+x in the interval [2.5, 3.0]…

A: Consider the given information.

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: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your…

A: Maxima or minima: y = F(x) is any function and let assume x = a is any critical point then, If y'…

Q: 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

A: Given Information - Height of the tree when Jilian was of 1 year = 5m Height of the tree when Jilian…

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: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

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Q: Explain the concept of differentiation and integration.

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

Q: When treating cancer, it is an advantage to know the rate of growth of the cancer tumor. A…

A: Since the tumor is spherical, its volume is given by, V=43πR3 Substitute diameter D=2R in the above…

Q: derivative of √x²-4 - 2arcsex x/2, 2<x<4

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Q: second derivative of f (x) =e**?

A: Given that: f(x)=ex2

Q: how to find the derivative using logarithmic differentiation?

A: Explanation of the solution is given below..

Q: Use logarithmic differentiation to find the derivative of y=x^√x/√x

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Q: Nth Derivative Of x3 ln(x) Problem Based On Leibnitz Theorem

A: To Determine: find Nth derivative using Leibnitz theorem. Given: we have x3logx Explanation: we have…

Q: Can you explain how to find the derivative of a rational power with the power rule as well as how to…

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Q: differentiate a function by logarithmic differentiation

A: take natural logarithm to both sides

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

A: Given function

Q: Fi id the derivative using Chain rule. Ln X+3

A: Please see the explanation below..

Q: Using properties for Logarithmic function, Only Simplify without differentiation the following…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Locate any relative extrema and points of inflection. Use a graphing utility to confirm your results…

A: Given: y=2x- ln 2x

Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

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

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

A: A function's behavior like whether the function is increasing or decreasing, whether the function is…

Q: en equation using

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Q: Sketch a graph of a function whose derivative is zero at exactly two points. Explain how you found…

A: Sketch the graph of a function whose derivative is zero at exactly two points which means we can…

Q: 7. * y = ln x X

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Q: Since you know how to find the derivative of a product of two functions, use the idea of…

A: The objective is to use the idea of associativity to find the derivative of the product of three…

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: See the details solution in below

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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

A: Given: fx=xlnx-x

Q: Derivative of ln[cosx/4-3x^2]

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Q: using logarithmic differentiation, find the derivative of y=x(2-x)

A: TO FIND THE DERIVATIVE OF   Y=X(2-X) 1. TAKE 'LOG' ON BOTH SIDES. 2.DIFFERENTIATE WIYH RESPECT TO…

Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

Q: Differentiate the function. h(x) = ex9 + ln(x)

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

A: The given function is 7x-12

Q: QI. Find the derivative of f(x)= 2x² - - by using the definition of derivative.

A: We have to find derivative

Q: Find using logarithmic differentiation y = x²+1

A: Logarithmic differentiation:    Taking the derivatives of some complicated functions can be…

Q: 2- 3x-I

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Q: Differentiate the function. f(x) =  5   ln x f '(x) =

A: Given that: f(x)=5.lnx

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

A: Use the definition of derivative

Q: A tank that contains 20 gal of water in which 3 kg of salt has been dissolved completely is to be…

A: It is given that, a tank that contains 20 gal of water in which 3 kg of salt has been dissolved…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.