Which transformations to f(z) would result in the graph of f'(x)? Graph: 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 1st derivative y=(x-1V2x-x t arcsin (x-1)

A: I am attaching image so that you understand each and every step.

Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

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Q: Compute the derivative. f(x) = (cos2 x)cosx

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Q: 3x-x Tan 1-3x? х-х

A:

Q: Find fi( using the derivative rules tanx y2-3

A: Given, the function is                         We have to find the derivative of this function i.e.…

Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: apply 1rt and second derivative to sketch graph  1)f(x)=3+7e^(-0.2x) and  2)f(x)=ln(2x+4)

A: In the question we have to draw the graph.

Q: Find the derivative of f(x) = arcsin 2

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Q: Find the derivative of the function.

A: fx=arc sinx + arc cosx

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: FInd the derivatives of the function f(x) from the first pribnciple  cos2x

A: Derivative from first principal is ratio of change in y to the very small chance in x.

Q: Let f(x) = cos(arcsin(x)). %3D a) First find the derivative by using Chain Rule f'(x) =||

A: (a) Given function is : fx=cossin-1x Now differentiating given function with respect to x using…

Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Find the derivative by the limit process. f(x) = 14-x²

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Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Find the derivative of the function by the limit process.

A: Consider the function, fx=12 The limit definition of the derivatives of a function is given by the…

Q: f(x) = tan (5æ).

A:

Q: Is it true that the derivative of y=arcsin(cos2x) is -2?

A: The function is y=arcsincos2x.   Differentiate the function with respect to x.…

Q: find derivative of the U function 1-x f(x) = sec-1. 1+ x ーオ

A: Explanation of the answer is as follows

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 the derivative of the function f(x) = arcsin x + arccos x

A:

Q: What is the derivative of f(x) g(x) in terms of f and g? Compute the derivative of -sin(x) · 2x=1…

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

Q: 3. = 2x-y х+3у

A: We will differentiate the given problem with respect to x.

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: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by…

A:

Q: Estimate the derivative of the function f (x) = -3 at the point a = 3. %3D

A: Here given as fx=x3-3 Differentiate with respect to x f'x=ddxx3-3=ddxx3-ddx3=13

Q: If f(x) = x³ + find f"(-1).

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the derivative of the function using chain rule. f(x) = esin?x

A:

Q: Find the derivative of the function f(x)=1/x using limit definition derivative

A: According to the given information it is required to calculate the derivative of the function using…

Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f'…

A: Use differentiation of trigonometric function

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

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

A: To sketch the graph

Q: f(x) = x' tan (5x)

A: Explanation and solutions is given below....

Q: Find the derivative of the function at Po in the direction of A. f(xу) 3 - ху- Зу?, Po(-7,0),…

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Q: Example38. From definition, find the derivative of cosx with respect to x.

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Q: Compute the derivative of f(x) = arcsin(x² e3=).

A:

Q: 5+x f(x) = 3—х

A: Solve the following

Q: X-2 %3D

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = x2(x - 2)3(x + 3). For what…

A: Given that, y=f(x) Second Derivative is y'' = x2(x - 2)3(x + 3). As we know that, Inflection point…

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: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx