11. Differentiate the function (use chain rule): y = x²(x-1)³(2x-5)² ;

Q: Use the chain rule to find the derivative of f(x) = 3(9z* – 82®)5 - You do not need to expand out…

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Q: Use the chain rule to find the derivative of f(x)= 4(2x^3−4x^9)^12  f'(x)=_______

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: Given function f(x)=mx+b where m and b is constant our aim To evaluate linearization of f(x) at…

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

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Q: Find the derivatives of the functions in Exercise

A: Given: y=1+x2x34-x-3 To Find: The derivative of the given function

Q: use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

A: y = (x4 − x3 − 1)2/3 derivative formula ddxxn=nxn-1

Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Find the linearization of y = at x = 16.

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Q: Find the gradient of 3e In(4x - 3) when x = 1.

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Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

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Q: Find the derivative of 4x - 9y = 17 9x y' = 4y -4x y' = 9y 9x 4y 4x 9y

A: Given problem:- Find the derivative of 4x² - 9y² = 17

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 5x2)−1 y' =

A: The function is given by,

Q: Use the Chain Rule to find the derivative. y = (x4 - x3 - 1)2/3

A: To find the derivative y = x4 - x3 - 123.

Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)² 2. y = √5x-2 3. y = (6x-4)²…

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Q: Use the chain rule to find the derivative of f(x)=5e^(3x^9−6x^10) f'(x)=____

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Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

Q: Find the derivatives of the functions in Exercise

A: The given function is y=x-35+π32

Q: use the Chain Rule to find the derivative. y = e2x2

A: To find the derivative of y=e2x2 using chain rule. Solution: Chain rule of differentiation states…

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

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Q: Differentiate the function (use chain rule): y = 2x2 /x+1

A: as per our guidelines, we are supposed to answer only the first question in the serial number.

Q: Find the derivatives of the functions in Exercise

A: Find the derivatives of the functions in Exercise

Q: Use the Chain Rule to find the derivative. f(x) = (x5 – x3 – 1)2/5 %3D

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Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: Use the chain rule to find the derivative of lor67, 8x

A: To find the derivative of 106x7+8x6 using the chain rule. Solution: Chain rule of derivative states…

Q: Fxy(x, y) is a monotonic and non-decreasing function of both x and y.

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Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: Use the chain rule to find the derivative of f(x)=3e^−4x^9+3x^3   f'(x)=

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Q: I. Differentiate each function using chain rule. 1. y (2x3 + 1)5 2. y=x² + (4x5 – 5)3 3. y = (-2b8 +…

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Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

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Q: How can you display the values of a function ƒ(x, y) of two in-dependent variables graphically? How…

A: For a  function ƒ(x, y) of two in-dependent variables. It can be plotted graphed using 3d plotting…

Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

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Q: Find the derivatives of the following functions using CHAIN RULE. f(x) = (4x2-5x)3

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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Q: Use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

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Q: Suppose m and b are constants. What is the linearization of the function f(x) = mx + b at any given…

A: The given function is: f(x)=mx+bSo,f'(x)=m

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: if the implicit function is x3=at2, find the d2x/dt2

A: if the implicit function is x3=at2, find the d2x/dt2

Q: Differentiate the following functions using Chain Rule: 1. y = (4x + 3)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: f(x) = (x2 + x) (x* - 6x)3 %3D

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Q: 5. f(x) = [(x + 5)5 – 1]4

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Q: Use the chain rule to find the derivative of f(x) = 4( – 5æ" + 3z")" %3D

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Q: Use the chain rule to find the derivative of f(x) = 3e10z° +9x* f'(x) %3D

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Q: Differentiate the function ln(x2+y2)+2arctan y/x=0 implicitly.

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Q: find the marginal revenue of the function. Using the quotient rule.  40x^2 -20x/x^2-10-2

A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…

Q: Determine the extrema of the implicit functions: (2² + y² + z²)² = 1 – a² – 2², z = 2(x, y) | |

A: Given x2+y2+z22=1-x2-z2 Differentiate with respect to x:…

Q: Differentiate the function y=(1−x)3 without using the chain rule.

A: Differentiation: y=(1-x)3 y=1-3x+3x2+x3ddx(xn)=nxn-1

Q: 12. Differentiate the function (use chain rule): y = 2x2 Vx+1'

A: To differentiate the given function

Q: Find the derivative by the limit process. Rx) = 4x3 + 2x2 %3D f (x) = %3D

A: Given: f(x)=4x3+2x2 To Find: Derivative by Limit Process. Concept: dfxdx=f'x=limh→0fx+h-fxh