Use the quotient rule to find the derivative of the function. * + 4 X-9 dy dx I3D

Q: f (x) = (4x + 5)* (x²? – 2x + 5)* Find the Derivative

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.  f(t) = 2t5 cos t

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

A: The given function is fx=13x The definition of the derivative is shown below: f'x=limh→0fx+h-fxh

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Here we apply chain rule to find derivative

Q: Find the derivatives of the functions y = x3ex

A: We find the first few derivatives using the product rule

Q: Find all possible functions wvith the given derivative. 了=4x5x

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Q: Find the derivative of the function by first expanding or simplifying the expression. 5x? f(x) =…

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative, but do not simplify your answer. y = (x2 + x + 4) y - (x² + x + 4)(% - 2Vi+3)…

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Q: Use the quotient rule to find the derivative of the function. p(t) = 2t-3 p'(t) = %3D

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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. y=xtanh¬12x

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Q: f(x) = 2x – 33x +7 Find the derivative of the function above using the definition of the derivative.

A: Given function is

Q: Find the derivative, but do not simplify your answer. y = (x² + x + 6)( x - 2/x + 9 y' = ||

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Q: Use the quotient rule to find the derivative of the following. x2 - 9x + 1 y% = x2 +2 dy dx

A: See attached file for a step by step explanation.

Q: Use the quotient rule to find the derivative of the function. P(t) = 2t-3 P'() =|

A: Explanation of solution is given below...

Q: Use the quotient rule to find the derivative of the following. (2x +2) (3x + 7) y = 8x-7 dy dx %3D

A: The given function,y=(2x2+2)(3x+7)8x-7

Q: Use the quotient rule to find the derivative of the following.

A: The given function is gx=2x2+35x+26x-7

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given function is y=9x2+4x. We have to find y' Use formula ddxxn=nxn−1 Use property…

Q: Find the derivative of the function. Express the answer using positive exponents only. y = (7x2 −…

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Q: Find the derivative of the function. y = x / sqrt ( 7- 3x )

A: y=x7-3x

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

A: Answer and explanation is given below...

Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative…

Q: Use the quotient rule to find the derivative of the following.

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Q: Use the quotient rule to find the derivative of the following.

A: To find derivative: y=x2-4xx+3 Solution: We know, quotient rule of differentiation is given by:…

Q: Find the derivative. 7/8 y3Dx

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Q: Find the derivative of the function. y=4arcsin(x/2)-xsqrt(4-x^2)

A: Here given  Use the product rule of derivative which states  Also, use the formula of the…

Q: Find the derivative of the function. Express the answer using positive exponents only. y = 2/3x3(4x5…

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: find the derivative of g(x)= 3x3- 2/ square root x   you dont need to simplify answer, but use…

A: The given function is,

Q: Find the derivative of the function. 36 9 h(x) = 27x² 9 X

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Q: b) f(x) = (e* (Inx² – 3))*

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Q: Q15: Find the derivative: f(x) = (In x)?

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Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 8x?)-1 y' =

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Q: Use the Chain Rule to find the derivative of the function. Use positive exponents in your final…

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

A: Given that,y=x3-5x2+8x+4   , x∈ℝ y'=dydx=ddxx3-5x2+8x+4    =3x2-10x+8    =3x2-6x-4x+8    =3xx-2-4x-2…

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Consider the equation as shown below: Here, And the object is to derivative of y.

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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

A: Sketch the function, as follows:

Q: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by…

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Q: Help using the quotient rule to find the derivative   y=(x^2−3x+2)/(x^7−2)

A: Given:

Q: Use the derivative rules to find the derivative of y = (2x-7)? y = (3x²+1)" y= 3x(4-9x)4 y=(3+x)²…

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Q: Use the quotient rule to find the derivative of the following. 2 x²-5x+1 y= 2 X +5 y'=0

A: derivative

Q: Gz² 6: 4. g (z) = %3D 2 -z

A: Given function: gx=6x22-x Differentiate the above function w.r.t 'x' g'x=ddx6x22-x

Q: Find the derivative of y 5x Select the correct answer below: 25x? 6xez2 -5 25x2 5ez (6x2-1) 25x2…

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Q: 5x Use the derivative to find where the function is increasing y = X+1

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Q: 5. Find the derivative if yyx – 8 = xy + 2

A: yx-8=xy+2Differentiate w.r.t x

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of the function  g(x)= (3x-2)2 (4x+5)3 Show all work and circle answer.

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Q: Find the derivative of the function (5x? +sin2xj3/2

A: Given: The function is, y=35x2+sin2x32. The objective is to find the derivative of the function.

Q: 4 b) g(x)=15x* In x

A: Given that, the function is gx=15x4 lnx.