The derivative f'(x) is graphed in the figure. Fill in the table of values for f(x) f'(æ) given that f(0) = –10. 3 4' 1 4 6. f (x)

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 second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: Find the equation of the tangent line to the graph of y at (2, 금). Use the limit process in finding…

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

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Q: Find the derivative. g(x) = tanh-1(x?)

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Q: g(x) = In tanh-1 x

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Q: Find the derivative. Simplify where possible. f(x) = tanh ( 1+ e2x  )

A: f(x) = tanh ( 1+ e2x  )

Q: Find the derivative of the function. g(x) = arccos(x) / x+7   g'(x)=__________________

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Q: find the derivative of y with respect to the givenindependent variable.

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Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: find the derivative of y with respect to the appropriate variable.31. y = cos-1 x - x sech-1 x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: What is the derivative of x sin(x) at the point (6,5)? 2 O 1 O-1 O None of the above

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Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Find the derivative of each function at the specified value of x.

A: We have to find the derivative of the function at the given value of x: gx=ex sinπx, when x=0. We…

Q: eリ- + 2y eTy x° +

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Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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

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Q: 2) Find nth derivative of the following function f(x) = ex

A: Given query is to find the nth derivative of the expression.

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: Find the derivative and simply. (a) f(x) = 1+cosx 1-cosx

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

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: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

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Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

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Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

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Q: sinh(3x) g(x) 3

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Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: Suppose 8 (x) =sec='(x<). what is the derivative of g with respect to x?

A: We can find the answer as below.

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

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Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

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Q: Find the derivative. Simplify where possible. h(x)  =In(Cosh  x)

A: Given: h(x)=lncosh x To find: we have to find the derivative of h(x)

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: Find the derivative of the following functions using the long method (limits) y= tan x

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

Q: Find the derivative of the function.

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: Find the 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

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Q: Find the derivative of the function g(x) = (arctan x)³, first showing how to get the formula for -…

A: Consider the function  g(x)=tan−1x3

Q: The derivative of xª at x = e is equal to .Soloot ono

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Q: Find the derivative of the function.

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Q: Find the derivative. Simplify where possible. f(x)  =tanh (1 + e2x)

A: Here given as fx=tanh1+e2x Since  ddxtanhx=sech2x

Q: find the derivative of y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: If f(x) = = f'(x) = 3x (sin x + cos x), find f'(x). Evaluate the derivative at x = 4. Enter an…

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Q: If f(x) = 4x(sin x + cos x), find f'(x). f' (x) = Evaluate the derivative at x = 5. Enter an…

A: First find derivative using product rule then put x=5

Q: find the derivative f(x) = sin (x^−3/e^-x )

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Q: Find the derivative. Simplify where possible. y  = x tanh-1 x   + In √ (1- x2)

A: We have given that, y=xtanh-1x+ln1-x2 We have to find the Derivative of this function i.e. y' As we…

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Find the nth derivative of each function by calculating the first few derivatives and observing the…

A: (a) Given function is : fx=xn To find fnx

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

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Q: If f(x)=4x(sinx+cosx), find f'(x) f'(x)= Evaluate the derivative at x=2. Enter an approximation,…

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