The graph of a polynomial function, f(x), is shown above. In the interval shown, how many times with the graph of f "(x), the second derivative of f(x), cross the x-axis? Explain why.

Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

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

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

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Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 -…

A: Given  The polynomial is  y = x2 - 4

Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Use the chain rule to find the derivative of f(x) = 4/2x° + 7x7

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Q: Find the derivative of the algebraic function. f(x) = (x2 + 5x + 6)/(x2 − 4)

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Q: Find the second derivative of the function f(x) = 5x2(x + 47) %3D

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

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Q: For the function f(x) = (5x² − 2)4 determine the second derivative in factored form.

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Q: Find the derivative of the algebraic function. f(x) = (2x3 + 5x)(x − 3)(x + 2)

A: Given function is f(x) = (2x3 + 5x)(x − 3)(x + 2). Simplify the function.…

Q: Find the derivative of the funchion f(x)=9x-5

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Q: Use the product rule to find the derivative of the function f ( x ) = ( x 2 - 3x + 2 ) ( 4 x 3 - x 2…

A: Given- fx=x2-3x+24x3-x2+4 To find- The derivative of the above function. Concept Used- The product…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.iii) y =…

A: Given: y=x3-3x2+4=(x+1)(x-2)2

Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.y = x3 -…

A: Axis interception points of x3-33x2+216x:  X Intercepts: 0, 0, 9, 0, 24, 0, Y Intercepts: 0, 0

Q: find the derivative of f(x)= 4x^2+2x-3

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Q: The derivative of f(x) = 5lnx is

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Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line…

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Q: Find the derivative of the function. f(x) = 8x +3/x2

A: We have to find the differentiation of the function: fx=8x+3x2 This will be differentiate by…

Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: Find the derivative of f. f(x) = 3x4 + 8x3

A: f(x)=3x4+8x3differentiating both sides w.r.t. xf'(x)=34x3+83x2f'(x)=12x3+24x2

Q: Can you please help me find the derivative of f(x)= (2x-3) / (x3-8x+9)

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Q: Use the Product Rule to find the derivative of the function. g(x) = (x² – 6x + 7)(x³ – 1) g'(x) =

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Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Use the chain rule to find the derivative of f(x) = 2e-72° + 32® f' (x) =

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Q: Find the derivative and simplify. f(x) = (x12 + 4x4 + 5)(2x3 - 1) f'(x) = %3D

A: Given : fx = x12 + 4x4 + 52x3 - 1

Q: Find the derivative of the ff. 3. f(x)= +an (x²- 2x) 8.h(x) = (4) -* -x2

A: Using chain rule.

Q: Find the second derivative of the polynomial function y=3x4−2x3+4x2−5x+1.

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Q: Use the chain rule to find the derivative of 8√3x^10+5x^3

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Q: find the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: Find the derivative of g(x) = 4x 1+4* •

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Q: f(x)=5e^−2x^3+8x^8 f'(x)=

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Q: Use the chain rule to find the derivative of f(x)=10√10x^10+2x^9

A: Consider the given function: fx=1010x10+2x9 Chain rule says that: ddxfgx=ddgxfgx+dgxdx We have,…

Q: Pictured to the right is the graph of the first derivative, f'(x), of a polynomial function (x),…

A: The equation of tangent line to the curve y=fx drawn at the point x=a is  y-fa=f'ax-a⇒y=fa+x-af'a…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

A: Find the zeros of a polynomial.

Q: Use the Product Rule to find the derivative of the function. f(x) = (5x − x3)(9x + 8)

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Q: Use the definition of the derivative to find the derivative of f(x) = x² - 2x + 7

A: By the definition of the derivative f'(x) = lim(h tends to 0) (f(x+h)-f(x))/h

Q: Find the second derivative of the polynomial functiony=3x4−2x3+4x2−5x+1.

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Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: Find the derivative of f(x)=(x2−2x)(3x+5) by first multiplying then simplify.

A: Here we have to use the concept of derivatives

Q: x² +5x +6 f(x) = x² - 4

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Q: Find the derivative of the function. 3 - 4x – x2 x² f(x) x² - 5

A: Topic-differentiation

Q: Find the fourth derivative of  f(x) = x^4-6x^3+7x-1

A: Given: f(x)=x4−6x3+7x−1