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

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: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

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

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Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

A: Given query is to find the derivative of the expression

Q: f(x) = v3x – 5 %3!

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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: 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: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (8x4…

A: Given: y=8x4+53

Q: Use the product rule to find the derivative. y = (3x2 + 2)(3x – 2) y' =DD %3D %3D

A: We will use the product rule to find the derivative of the given function y.

Q: Use the product rule to find the derivative. y = (2x +3)(5x-4) y'% =

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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: Calculate the derivative of the exercise: y=(4x3+3)4(x+1)-3

A: To find: The derivative of below expression.

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: Why can't the power rule be used to differentiate the function y = e"?

A: Given

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

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Q: Use the chain rule to find the derivative of f(r) 3e7z° +6z7

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

Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Use the product rule to find the derivative. y=(2x*2+5)(4x-5) y'= ?

A: GIVEN DATA : The function y=2x2+54x-5        TO FIND : Derivative y' by using product rule For 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: Determine whether the following statement is true or false, and explain why. The chain rule is used…

A: Given: The chain rule is used to take the derivative of a product of functions.

Q: Use the chain rule to find the derivative of 3(3x^10+6x^3)^19 (do not need to expand answer)

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Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: Use the product rule to find the derivative. y= (4x +5)(5x-2) y'= %3D

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

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Q: Find the derivatives using the four step rule: f(x) = 1-x2

A: Explanation of the answer is as follows

Q: Why can't the power rule be used to differentiate the function y = = e"?

A: Because the power rule only works for function raised to a power for example x^3,x^8 etc.. it is not…

Q: ³√xy = 2x²y-8x

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

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Q: How do you linearize a function ƒ(x, y) of two independent variables at a point (x0, y0)? Why might…

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Q: Use the chain rule to find the derivative of 4x* +4x8 Зе

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Q: Use the chain rule to find the derivative of 4√10x^4+4x^8

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Q: 4 - 1 У — уз - 1

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Q: Use the chain rule to find the derivative of f(x) = 2e5a* + 9x³ %3D f' (x) =

A: We have to find

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: Find the derivative of the function. y = x²V25 - x² %3D %3D

A: Differentiate wrt x

Q: Use the Product Rule to calculate the derivative. f(x) = x³ (7x² + 1) %3D

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

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Q: Use the product rule to find the derivative. y= (2x + 3)(5x-4) %3D

A: differnetuate this with respec to x using product rule .

Q: Find the derivative. y = 5x(2 – x³)* %3D

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Q: * Use the chain rule to find the derivative of

A: Given,        w = xy Here,         x=tan(t),   y=csc(t)

Q: DIFFERENTIATE THE FOLLOWING FUNCTIONS USING CHAIN RULE. PLEASE SHOW YOUR SOLUTIONS. 1. Differentiate…

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Q: Use the product rule to find the derivative. y = (4x2 + 5)(3x - 5) y'= %3D

A: Given:-y=(4x2+5)(3x-5)To find: derivative by using product rulesolution:product rule:…

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: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132