Calculate the derivative of the function. g(x) = (x2 − 5x − 1)−9

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 7x + 7.

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Q: Find the derivative of the function.

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Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

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Q: Find the derivative of the function. g(x) = 6e√x g'(x) =

A: Given that g(x) = 6e^(√x) We have to find the derivative of the function.

Q: Find the derivative of the function using the definition of derivative. g(x) = the square root of 8…

A: Given,g(x) = 8-x → 1Definition of derivativeg'(x) = limh → o g(x+h) - g(x)h → 2

Q: Find the derivative of the function.  h(x) = − 1 / 5x0.5

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Q: Find the derivative of x^2 =16^x

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Q: Find the derivative of the function. f(x) = 2x3 − 5x2 + x

A: The derivative of xn is given by:…

Q: Find the derivative of the function. y =    8x2 − 5 2 − x   3    y' =

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Q: Find the derivative of the function. f(x) =  (x3 − 1x2 + 1)/x2   f '(x) =

A: We first simplify the given function

Q: What is the derivative of y = (-3x²-x+4)e5 ANSE

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Q: Find the derivative of the function. y =  x2 − 16 (x + 4)

A: Given, y=x2-16x+4

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative.…

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Q: Find the derivative of the function. g(x) = ln(|x9 − x|)   g'(x)=

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Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: f(x) =  10x3 + 8x2 + 9x − 6 x Find the derivative of the function f by using the rules of…

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Q: A1) Using the definition of derivative, find the derivative of f (x) = x2 + 3x +:

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Q: Find the derivative of the function. h(x) =  5/ x2 +  3/ x3   h '(x)  =

A: The objective is to find the derivative of the function: hx=5x2+3x3

Q: Using the definition of derivative, find the derivative of f(x)=x^2+7x+7

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Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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Q: find the derivative of the function f(x) = 6x^2(x-5)

A: f(x)=6x2x-5f'x=ddx6x2x-10=6.ddxx2x-10Appply generalized power rule:[u(x)v(x)]=u(x)v(x) [ln(u(x)) .…

Q: Find the derivative of the function. h(x) = 14x16 + 4x8 − 2x5 + 19x − 5 h'(x) =

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Q: Use the General Power Rule to find the derivative of the function. g(x) =    9 − 7x g'(x) =

A: We have to find g'(x) using the general power rule.

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: We need to find the derivative of the given function.

Q: 1. Find the first derivative of the function g(x) = 8x³ + 12x² - 48x. g'(x) = 2. Find the second…

A: Solve the given

Q: Find the derivative of the function using the definition of derivative. g(x) =    5 − x

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Q: Find the derivative of the function. g(x) =  3 x5 +  2 x3 + 6 3   x  g'(x) =

A: Given query is to find the derivative of g(x).

Q: Find the derivative of the function. y = 9x5 − 4x3 + 3x − 10 y' =

A: The solution are next step

Q: Use the General Power Rule to find the derivative of the function. g(x) = 4/(6x2 + 5x)9

A: Given that: g(x)=4(6x2+5x)9

Q: Find the derivative of the function.   g(x) = 9 3   x + 8

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Q: Find the derivative of the function. t(x) =  8x + 2x2/x   t'(x) =

A: Given function is t(x)=8x+2x2x

Q: Determine the derivative of f(x)=(e3x−1)5.

A: We have to find the derivative of function

Q: 2. (- 2x Find the derivative of h(x) %3D 2x + 3

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Q: Find the derivative of the function. y = (3x + 4)(x3 − 6x2)

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Q: Find the derivative of the function.  g(x) = x−2 − 9x−1 − 4   g'(x)=

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Q: g(x)=(2x-x3) h(x)=(8x+5) f(x)=(2x-x3)(8x-5) Find g1(X) and find h1(X) Use product rule to find…

A: Given functions are:

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 2x + 2.

A: I have appended the formula used in the solution part.

Q: Q-3: Use the definition of the derivative to find the derivative of g(x) = x³ – 2x2 +x – 1.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Use the Quotient Rule to find the derivative of the function. g(x) =  5x − 7 x2 − 1

A: Given a function, we  need to find the derivative using quotient rule.

Q: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: 2)f(x)=(3x^(2)+8x+3)^-5 Find the derivative of the function

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: Find the derivative of the function using the definition of a derivative. State the domain of the…

A: Plug f(x) and f(x+h) in the definition of derivative.Express them as difference of cubesApply…

Q: (c) Find an expression for the second derivative of 1/g(x) in terms of g, g', and g", explaining…

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