Graph the function f(x)=−x^2−10x by starting with the graph of y=x^2 and using transformations​ (shifting, stretching/compressing,​ and/or reflecting).

Q: Calculate the derivative. f(x) = 3ex - x3

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Graph the function y=-sin2x on [-pi,0]

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Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Calculate the derivative.

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

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: Differentiate f (x) = x sech x².

A: ddxsech x = (-sech(x) tanh(x)) ddx(u(x)v(x))= u'(x)v(x) + u(x)v'(x). ( Cain rule of derivative)

Q: Differentiate the function using quotient rule. 3x y = 2х + x2

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Q: Find the second derivative. f(x) = 5x10 - 19x5 – 11x3 + 2 f"(x) =

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Q: Use the definition of the derivative f 19. f(x)= 6x² – x 20. -

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

A:

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: Take the derivative f(x) = x3cosx

A: Given :            fx=x3cosx

Q: Find a function that models the area of an equilateral triangle in terms of the length x of one of…

A: The function is equilateral triangle:   Concept used: The Area of equilateral triangle is defined…

Q: Use the product rule to calculate the derivative  f(x)=x^3(2x^2+1)

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Q: Calculate the derivative. f (x) = (x + 3)(x − 1)(x − 5)

A: The given function is In the expanded form the above function can be written as

Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

Q: Use the Chain Rule to find the derivative of the function. y = (3x2 - 7)3

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Q: Sketch the graph of the function

A: The function: y=ex

Q: Apply the second derivative test to find the relative extrema of the function fx) =x*-18x-3

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Q: Calculate the derivative. f(x) = 2x 3 - 3x2 + 2x

A: The function is given as fx=2x3-3x2+2x Differentiate the above function w.r.t 'x'…

Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

A:

Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

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Q: Find the derivative. [2x(x^6+1)^3]

A: Let y=2x(x6+1)3

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

A:

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let the length of the rectangular field be y and the width be x. Assume the farmer divides the field…

Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

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Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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Q: Find the derivative. 6) y = 8x2e¬x

A: We use the product rule to find the derivative

Q: Find the derivative of the funcion. y=x-17 +63x+6

A: y = x3-17x2+63x+6 y'=dydx=ddxx3-17x2+63x+6 Here we are gonna use the formula  ddxxn=nxn-1

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: 3x y = 2х + x2

A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2

Q: How will you differentiate an implicit function that can't be expressed in the form of y = f(x)?

A: For the differentiation of implicit function, we will differentiate each side of an equation with…

Q: What is the end behavior of the function as x approaches negative infinity and positive infinity

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

A: To sketch the graph

Q: f (x) = 3x²e*

A:

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: Differentiate the function y=sec(3x)+5-2

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Q: Use definition to find the derivative of the function f(x)= 2x-3x2 at x = 3 %3D

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Q: Calculate the derivative. f(x) = (x³ + 2) (x³ + x + 9)

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Q: for the Function Fc)-, find %3D

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Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Express the area A of a rectangle as a function of the length x if the length of the rectangle is…

A: The area of the rectangle is given by the formula A=l×w where l is the length of the rectangle and w…

Q: Find the derivative. y = 5x(2 – x³)* %3D

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Q: Differentiate the function y=(1−x)3 without using the chain rule.

A: Differentiation: y=(1-x)3 y=1-3x+3x2+x3ddx(xn)=nxn-1

Q: 23) y=x²e²*

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Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A: