Find the derivative Of the fundtion using the definition of derivative. State the domain of the function and the domain of its derivative. f(x) = 4+ 8x -5x² %3D

Q: Use the quotient rule to find the derivative of the function. 3t² - 1 g(t) 2t + 5 =

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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: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Find the derivative of the function by using the definition of the derivative. f(x) = /(x³ + 5x)…

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: ddx3x-42x3+5x=ddx3x-4·2x3+5x+3x-4·ddx2x3+5x=3·2x3+5x+3x-4·6x2+5

Q: using the method of increments, find the derivative of  y=4x3

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Q: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3 g(x)=3 X-8 #3

A: To find the derivative using the definition.

Q: Use the first derivative and the second derivative test to determine where each function is…

A: We first find the first and the second derivatives y=-3x2-5x+2dydx=-6x-5d2ydx2=-6

Q: Find the derivative of w = v (x2 . 3")³ dou

A: Given, w=x2·3x3

Q: Find the derivative of the function y=3√7x+7√3.

A: To determine: The derivative of the given function.                         Differentiate with…

Q: Using the definition, find the derivative of the simplest quadratic function y=x2.

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Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

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Q: Find the derivative of the function below using the definition of the derivative. f(x) = 2³ + 2

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Q: Use the Quotient Rule to find the derivative of the function. 5x - 8 23TOM YM x2 – 1 g(x) = g'(x) =…

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

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Q: Find the derivative of h(x)=(-2x-5)3 (2x-4)5you should leave your answer in factored form. Do not…

A: Compute the derivative of h ( x ) as follows.

Q: Find the derivative of the function. y = 8x3e−x

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

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Q: Find the derivative of the function y=32x3√x.

A: Given- y=32x3x To find- The derivative of the above function. Formula used- Using the product rule…

Q: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: a) Using definition, compute the derivative function of f (x) = 4x7

A: Here, we will find derivative of given function by definition of derivative,

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: For a function f(x) its derivative is defined as f'(x)=limh→0f(x+h)-f(x)h. Use the expansion…

Q: 5x- 1

A: Use the concept of derivative of the form f = u/v.

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: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

Q: Find the derivative. a) (x-3)(x+2)(x^3) b) 9x^2(10x+4)

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Q: Find the derivative of the function.

A: Differentiation is the process of finding the rate of change of one variable with respect to another…

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

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Q: Use the definition of the derivative to find the derivative of the following y = x3 + 6x + 3

A: Given function: y=x3+6x+3 We know that the definition of derivative f'x=limh→0 fx+h-fxh Substitute…

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

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 of the function y = 4x3- x2+6x-5

A: Find the derivative of the function      y = 4x3- x2+6x-5

Q: Find the derivative of the function y=3x3.

A: we have to find the derivative of y=3x3

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

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Q: Find the derivative of the function. y=3x2-11x-5/x5

A: We have to find

Q: Find the derivative of the function. g(x) = 8/ (5x2-6x)4

A: To find the derivative of the function

Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

Q: Find the derivative of the function. g(x) = 3(4 − 9x)5/6

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Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

Q: x = -t4 – 5t – 3 2.

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Q: find the derivative of the function f(x)=8x^2ln8x

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Q: Find the derivative of f (x) = ( a ° – 5æ) (2² + 6x - 6).

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Q: Find the derivative of the function.

A: The given function is gx=3x2-22x+3-2.

Q: Given ƒ(x)=2x² – x, find f '(x)using the definition of the derivative. www ww

A: Derivative of function f(x) by definition is defined by f'(x)=limt→xf(t)-f(x)t-x

Q: B2(a): Using the definition of derivative, find the derivative of f(x) = x² + 7.

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Q: Find the derivatives of the functions w = (2x - 7)-1(x + 5)

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Q: Find the derivative of the function.h(x) =9x9−7x7+ 8x

A: we will find derivative of f(x)we will use power rule

Q: Find the derivative of the function. g(x)=(4x5+1)4

A: We have gx=4x5+14Using power ruleddxxn=nxn−1