Find the inverse function of f(x) = 15 + Yx. f(x) = Preview %3D

Q: f (x) e1/x x2

A: Given function is fx=e1xx2

Q: Find the second derivative of the following function: f(x) = esinx %3D

A:

Q: Sketch the graph of the function y=|ln|x||.

A: Given:  Function y=f(x) = |ln|x|| To Find: Graph of function f(x) Concept used: Consider the graph…

Q: Find the first and second derivatives of the functions in Exercises

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Q: Find the first and second derivative of the function. G(r) = Vr + Vr 1 + 1 G'(r) = 3x G"(r) =

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: Calculate the derivative of the function. g(x) (x2-3x- 1)-5 g'(x) (No Response) Need Help? Read It

A: Given: g(x) = x2-3x-1-5 To find: The derivative g'(x) of the given function.

Q: x4 -5 7) f(x) = In %3D

A: fx=lnx4-5x first, simplify the function  f(x)=lnx4x-5x f(x)=lnx3-5x now take derivative

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

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Q: Find the second derivative of the function y=x√1−x2.

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Q: Find an analystic function whose real part is e-x (x sin y-y cos y)

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Q: Find the derivative of the function. 1 g(x) x2 +o g'(x) =

A: Use the basic power rule of derivative and simplifie.

Q: Write the first and second derivatives of the function. f(x) = 4.2 In x + 9.3 f'(x) f"(x) %3D

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Q: Evaluate the function: dx ¤(1+x?)

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Q: Use logarithmic differentiation to find y'. y = (x² + 2)°(x² – 8)7 %3D -

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Q: Find the derivative of the function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: t2 5. x= t-1 y = 12-1

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Q: Find the third derivative of the function: Y = =+ VX3 %3D

A: To find the third derivative of the function: y=1x+x3

Q: Find the first and second derivative of the function. G(r) = Vr + Vr G'(r) G"(r) II II

A: For this problem, we will use the following result: ddxxn=nxn-1     for all real n.

Q: Graph the function y = |ln x|.

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Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the derivative of the function. (x² + 1)6*². 1 u(x) = u'(x) =

A: This question is related to differentiation solve in step 2.

Q: Find the derivative of all orders of the function. y3D x'-x + 5x-9 y3= %3D

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Q: Find the derivative of the function. g(x) = 4e√x g'(x) =

A: Consider the given function:

Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: Differentiate the following function: (e-*) * y = sec

A: Given: y=sece-x2

Q: y 3 + 4x-1 = 8y¬1

A: Using differentiation formula:ddxxn=n.xn-1

Q: Find the first and second derivatives of the function. f(x) = 11x1 + 6x - x %3D f"(x) = f"(x) =

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Q: sketch the shifted exponential curves y = 2x - 1 and y = 2-x - 1

A: The given exponential curves are:

Q: Find the derivative of f(x)

A: Given,

Q: Find the differential of the function y=xex2.

A: Here the given function as Use the product rule of derivative which states

Q: Find the derivative of the function. (x) = (2x – 6)ª(x² + x + 1)5 %3D f'(x) = Need Help? Watch It

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Q: Differentiate the function t= (ln(y)) / y³

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Q: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

Q: Find the second derivative of the function. y = (2x + 4)3 %3D y" %3D

A: y=2x+43

Q: Differentiate the function g(x) = ln(xe-2x).

A: Given function is,

Q: Find the derivative of the function. x3 4) y =-1 %3D X- 1

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Q: f(x) 1 – 2Vx

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Q: Use logarithimic differentiation to find: y=(x+1)(x-2)/(x-1)(x+2)

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Q: Find the derivative of the function. u(x) = (x2 + 1)9x2 − 1 u'(x) =

A: The function u(x) is:

Q: Let y = f (x) = x² + 1, evaluate the derivative of the inverse function x = f-1(y) at y = 2 %3D %3D

A: y=fx=x2+1.

Q: A. Find the derivative of each function. 1. f(x) = 5x²(3x - 6) %3D

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Q: Use the inverse function theorem to find the derivative x + 2 dg-1(x) g(x) = Hint : find d.x

A: We have to find derivative by using inverse function theorem d/fx(g-1(x))=1/(g'g-1(x))

Q: Find the first and second derivatives of the function. f(x) = x2/ 1+6x

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Q: Find the derivative of the function f(x) = x6x. %3D

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Q: Activity 2. Find (a) y' by equating the function to y and differentiating it; (b) y' by imp…

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Q: Find the derivative of each function. (b) g(x) = |x| +1/√x

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Q: Find the derivative of the inverse function for y=x⋅3x provided x>0.

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Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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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: