Use the product rule to find the derivative of the following function, then select the correct answer from the list below. y3 (2³ +1) (9x + 2)

Q: Find the derivative of the function

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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 Product Rule or the Quotient Rule to find the derivative of the function.

A: Given, fx=2x+7x2+4

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: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

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

A: given function is:

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 the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

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

A: Given :           The function h(x) = xx3 + 1 To find the derivative of h(x) using product rule.

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

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

A: We have given; g(s) = √s(s2 + 8)

Q: Find the derivative of the function. 4x +7 y = 3

A: Quotient rule: ddxfxgx=gxddxfx-fxddxgxgx2

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. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of the function using the definition of derivative f(t) = 6.5t2 + 7t

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Q: Q2/ Find the derivative of the function (x) =v3x-x by definition

A: Solve the limit for very small change in x .

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: y= 3x²e¬*

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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 definition of the derivative to determine the derivative of the following function:  f(x)…

A: Solution by definition of derivative :-

Q: Find the derivative of the function. y = 2  4√(9 − x2)

A: Given function: y=29-x24

Q: f(x)=2x2−16x+35 , the derivative of the following function using the definition of the derivative.

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Q: • Find the derivative of y = 5x2 in the following three ways, using algebra to make sure you get the…

A: y= 5x2/3√x

Q: Use the product rule to find the derivative of the following function, then select the correct…

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Q: Use the product rule to find the derivative of the following. y= (x+ 5)(5/x +9) D- A

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Q: Use the Quotient Rule to find the derivative of the function.                             g(t) =…

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

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

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   in two ways: by using the Quotient Rule and by…

A: x4−5x3+xx2 Given function f(x)=ddx[x4−5x3+xx2] Recall Quotient Rule  ddxxy=ydxdx-xdydxy2

Q: b) f(x) = (e* (Inx² – 3))*

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Q: Use the Quotient Rule to find the derivative of the function. 2х — 3 g(x) x - 1 g'(x) = %3D

A: Given that gx=2x-3x2-1

Q: Use the Generalized Power Rule to find the derivative of the function. y = (1/w^7-1)^6

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

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Q: 3w + w 5. R(w) = 2u2 +1

A: Solution:GivenR(w)=3w+w42w2+1To find the derivativeFormula:ddxuv=vdudx-udvdxv2

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

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Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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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: Find the derivative of the function. 8. 7t2 + t

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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: Use the Product Rule to find the derivative of the function.                                y = (3x…

A: Given function, y = (3x − 4)(x3 + 5) Apply the Product Rule  ddx[g(x)h(x)] = g(x)ddx[h(x)] +…

Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

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

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Q: Use the product rule to find the derivative of the following. y = (x + 7)(7+x +2)

A: Find derivative

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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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 the function y= 5,3x 2x+3 The derivative is

A: Topic -derivative

Q: Find the derivative of the function  y=[x2 + (1  -3 x)5]3

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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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