Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where does the first derivative equal 0?

Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) =3x/4 - 2

A: As the formulas (1) and (2) are not provided here. So, I solved by using the basic formulas of…

Q: Find the derivative of the function f(x) = (5x^4)/12

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Q: Find the derivative of the function f(x)=(2x-7)/(3x-2)

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Q: Find the derivative of the function, f (x)=(3x-2)° (2x+5)

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Q: use the definition of a derivative to find f′(x). 54.  f(x)=6

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Q: Use the definition of the derivative to find f'(r). 1. f(x) - 3r - dr +5 3.

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Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below:…

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

A: Use chain rule to find derivative of given function as shown in step 2

Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = 2x - 6/7

A: Explanation: Given that,  f(x)=2x-67

Q: The derivative of the function f(x) = 4x-1 is

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Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: y = x³ – 3x2 + 3

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Q: Find the derivative of the function f(x) (3x+6)? 6x2+13

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Q: Use the shortcut rules to calculate the derivative of the given function. f(x)=−3x^0.75

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 5x + 2 f(x) = 3x +7

A: We have to find

Q: Find ƒ‴ (x) , the third derivative of ƒ, and ƒ (4) (x) , the fourth derivative of f, for function.…

A: We have given the function f(x) = 7x4 + 6x3 + 5x2 + 4x + 3 To find the third derivative of the…

Q: Use the product and/or quotient rule to find the derivative. f(x)=(3x+5)(2x−1) what would f'(x)…

A: Given that the function is

Q: Given f(x) = -x² – 4x – 6, find f' (4) using the definition of a derivative. Provide your answer…

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Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = x2/3

A: The function: fx=x23

Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: Use the DEFINITION OF A DERIVATIVE to find the derivative of the function. 2) f(x) =5x2 + 3

A: We have to find the derivative by using definition of derivative

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

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

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Q: f(2) — V3х — 7

A: Solved using terms of derivative.

Q: Given f(x) = 5x² + 5x + 2, find f' (x) using the definition of a derivative.

A: Given function is solved through derivative  detailed solution is given below

Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

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Q: Find the relative extrema of the function and classify each as a maximum or minimum using the First…

A: Answer

Q: Find a formula for the derivative of the function 2x2 – 3

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Q: Use the appropriate Derivative Formula for the algebraic function below. x2+1 2. y = x2-1

A: y=x2+1x2-1In this we use quotient rule QUOTIENT RULEy=uvdydx=v.dudx-udvdxv2apply this rule in given…

Q: Find the derivative of the given function. f{x) = (9 = 4x³)-2 Let f(x) be expressed as the…

A: our objective is to find the derivative

Q: Given the function F(x)= 1/x2 - Use the definition of the derivative to find f'(2)

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Q: f '(x) by using the definition of the derivative. f(x) = 4 – 6x2

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Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the derivative using the definition for the function f(x) 4 +8x-5x2.

A: Limit defination of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Use the definition of the derivative to find the derivative of each function with respect to x 1)…

A: Given: y= -2x+5

Q: Given function: y = x* – 4x³ + 2

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Q: Find the derivative of the function. f(x)=6x2(9-8x)4

A: Use the product rule of differentiation: fx=ux.vxf'x=u'x.vx+ux.v'x

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

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 derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: Use the definition of a derivative to find f ′ (x). f (x) = 2 − 3x

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Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: Find the derivative of the function f(x) = 5arcsin(x-4)

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Q: Find the derivative of the function f(x) = (2x² + 5æ + 2)° at æ : - 2)* - 1 f'( – 1) = 3

A: Given :f(x) = (2x2+5x+2)3 at x = -1First we will find the derivative of the f(x)

Q: Use the second derivative test to find the extreme values of the function f(x) = 49x + 1. Answer:

A: Second Derivative Test for Local Extrema The second derivative may be used to determine local…

Q: Find the requested value of the second derivative of the function. f(x)=4x4-8x2+5; find f"(0)

A: The given function is Now, taking first derivative of the given function

Q: Given f(x) = 3x² + 2x. Use the definition of the derivative to show that f'(x) = 6x + 2.

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