Below is the graph of y = r(x), use the pencil tool to sketch the derivative function r'(x). Be prepared to explain how you created your sketch. Below is the graph of y = r(x), use the pencil tool to sketch the derivative function r'(x). Be prepared to explain how you created your sketch.

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: derivative

A: We will find the derivative.

Q: Find the derivative of f(x)=e^(tanx)

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Q: Find the derivative of the function. y%3=

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Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: 13. f(x) = e* In x

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Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: derivative of y = arctan(x2+ 3)

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Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: Find the derivative: a. y = x arctan 4x

A: Solution:

Q: Find the derivative of f(x)=arctan(1/x) and simplify

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Q: y у %3 4a/сosh a

A: Consider the given hyperbolic function y=4acosha The given function can be written as, y=4acosha=4a…

Q: Find the derivative of y = x*. .5"

A: Given that: y=x5x

Q: Find the nth-order derivative of the function y=x2cosx.

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Q: For x> 0, find and simplify the derivative of f(x) arctan x arctan(1/x)

A: this is identity.

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

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Q: Could f(x) be the derivative of g(x)? Please explain why or why not

A: Given graphs of f(x) and g(x)

Q: Find the derivative of the function y=2√x−3sinx.

A: Given: fx=2x-3sinx for finding derivative of given function we use property given below…

Q: What is the derivative of * y = arctan(x2 + 1)?

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Q: Find the derivative of the function y = x arcsec x

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Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: cosx y =-

A:

Q: Find the derivative of the function. 4 y=デ

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Q: Find the derivative of the function. 2 + g(x)

A: We know that  ddxxn = n·xn-1

Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Determine the derivative of h(x) = 15 arctan

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Q: Find the derivative of y with respect to x.

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Q: The second derivative of the function is y = arctan 2x

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Q: Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.

A: Consider the given: The numerical derivative does not exist a point in three cases: 1) when there is…

Q: What is the Derivative of the following function;  y = Arctan 2(x 3)

A: To find: The derivative of y=tan-1x32. Formula used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: If y=Incscx, then the value of first derivative (y) is

A: The given function is y=ln cscx.

Q: Find the derivative of the function.

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Q: Find the nth derivative of the function y=sinax.

A: We find the first 4 derivatives using the chain rule

Q: The derivative of y= elanx + tan(e*)+ (tanx)® equals

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Q: Find the derivative. h(x) == 2* %3D

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Q: Find the derivative of y = 21+arctan x

A: By using derivative formula

Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

Q: Find the derivative of the function - (tan(æ)). Y = y'

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Q: Find the derivative. f(x) = 4cosx + √x

A: Given function is fx=4cosx+x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: Find the derivative of y = arccos x + x 1-x²

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Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

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

Q: y=

A: