Graph the function f(x)=−x^2−6x by starting with the graph of y=x^2 and using transformations​(shifting, stretching/compressing,​ and/or reflecting).

Q: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

A: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

Q: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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Q: Find the derivative.   g(x) = 4^x/x^4

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

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

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Q: Find the second derivative. y = 3x2 - V y" =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the derivative of the function.(x2 + 9)(x3 + 6)/ x2 + 3

A: Consider the function

Q: Find the 2nd derivative x2+3/5

A: To find the 2nd derivative of x2+35. Solution: Let the given function be y=x2+35. Given function can…

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

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Q: Find the derivative.   y=6xe^x^5

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Q: Use the product rule to find the derivative. y = (2x +3)(5x-4) y'% =

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Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 5x2)−1 y' =

A: The function is given by,

Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

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

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Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: x'-3x+5 3) y= x² +1

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Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the derivative. f(x) = 4/6x +7 f'(x) = %3D

A: As we know thatddxxm=ddxxm2=m2xm2-1

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

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

Q: Plot the function fx) = x3- 2x2-10sin?x-e0.9x and its derivative for %3D -25x54 in one figure. Plot…

A: The given function is  f(x)=x3-2x2-10sin2(x)-e0.9x and so the differential of the function is ,…

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

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Q: Find the first and second derivative y=(4x3/3)-x

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

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

A: Let y=2x(x6+1)3

Q: Use the product rule to find the derivative. y=(2x*2+5)(4x-5) y'= ?

A: GIVEN DATA : The function y=2x2+54x-5        TO FIND : Derivative y' by using product rule For the…

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

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Q: Use the product rule to find the derivative. y= (4x +5)(5x-2) y'= %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 second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Differentiate the function.

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

Q: Find the derivative: y = (4 – x)(x³ – 2)

A: Given y=4-xx3-2

Q: 3x y = 2х + x2

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

Q: Differentiate the function. y= (5x- 5) (5 -x*)5 - 15625(x – 1)ª (5 – x*)*(5+4x³ – 5x*) dx

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Q: f (x) = 3x²e*

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

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Q: Use the Product Rule to find the derivative of the function.                                y = (3x…

A: Given function, y = (3x − 4)(x3 + 5) Apply the Product Rule  ddx[g(x)h(x)] = g(x)ddx[h(x)] +…

Q: Find the first derivative y = (3x-2)/ (2x-1)1/2        Use the quotient rule

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Q: Find the derivative of the function. y = eV7x2- 9

A: y=e7x2-9 To Find: Derivative of the function

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= 4x²e- x- y%3D4X

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Q: 2. 2x +1 %3D 2.

A: We have to find the derivative of y

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

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Q: Use the product rule to find the derivative. y = (4x2 + 5)(3x - 5) y'= %3D

A: Given:-y=(4x2+5)(3x-5)To find: derivative by using product rulesolution:product rule:…

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: Find the first and second derivative y = (4x3 /3) -x

A: Find the first and second derivative y = (4x3 /3) -x

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…