If x^3=3x^2, then what is x using the Zero-Product rule?

Q: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

A: use the Product Rule to calculate the derivative. f (x) = (3x − 5)(2x2 − 3)

Q: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…

A: We have to choose the correct answer from the given options according to the given information

Q: Use the chain rule to find the derivative of 4/9x + 2x10

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Q: Show that the derivative of FOx) =x² is f'x)=2x using the defimition

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Q: 5 (x²-4)

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

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Q: Use the chain rule to find the derivative of 12 3(-10x + 8x") You do not need to expand out your…

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Q: Find the derivative if w=(2x-7)-1(x+5)

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Q: Evaluate fsin (2xv1-x) dx.

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Q: Find the constant a such that the function is continuous on the entire real line. Ax) = {2x2, (ах -…

A: Given that , the functionfx=2x2,x≥1ax-7,x<1We have to find constant a such that the function is…

Q: evaluate the derivative of 3x^2+y^2x=9

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

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Q: Use ab-initio method and find the derivative of 3x° +5x² – 2x-12.

A: Differentiation is the rate of change of some variable with respect to the other variable. First…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 -…

A: Given  The polynomial is  y = x2 - 4

Q: Can you help me find the derivative of f(x)=x8(x4- 6/x4) (this needs to be solved without using the…

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Q: Use Mean value theorem to show that (1+ x)' 2 (1+2x).x21.

A: Mean value theorem: Let f be a continuous function on the closed interval a, b and differentiable on…

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

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

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Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

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Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: Let fx) = 4x2 - 2x. (a) Use the definition of derivative and the procedure given in this section to…

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Q: Does local extrenum of x(sqrt(4))- x^2 exist?

A: Given function is: f(x) = x . {sqrt (4)} - x^2 f(x) = 2x - x^2 ; [consider the positive value of…

Q: the

A: We will find the derivative.

Q: please find the derivative of the below using product rule and label all parts of the product…

A: Given : g(x) = 4x(x³ - x)

Q: Find derivative using quotient or product rule

A: To find the derivative of y using quotient rule or product rule.

Q: Find the derivative 5x' +9x + -7x+2

A: Find the derivative, 5x3+9x2+7x+2...(1)

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: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.iii) y =…

A: Given: y=x3-3x2+4=(x+1)(x-2)2

Q: Find the derivative  9x3+4x2+25x+68

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.y = x3 -…

A: Axis interception points of x3-33x2+216x:  X Intercepts: 0, 0, 9, 0, 24, 0, Y Intercepts: 0, 0

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

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Q: ³√xy = 2x²y-8x

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Q: 5. * y = ( In æ)²

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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 8√3x^10+5x^3

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Q: 2- 3x +8 2-X2C

A: Use chain rule to find the derivative. The formula for differentiation is  ddxxn=nxn-1

Q: Differentiate the function y = (x + 8) In (x +8). y' = %3D

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Q: Use ab-initio method and find the derivative of 3x +5x2 –2x-12.

A: Ab-initio method : Let us consider a function f(x) the method ab-initio given the derivation of the…

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

A: Find the zeros of a polynomial.

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

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Q: 14x

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Q: Use ab-initio method and find the derivative of 3x +5x² – 2x-12.

A: Ab-initio Method: ddxf(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: find the derivative of  f(x) = sqrt of 3x-2 / 3-4x

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Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: 2 Vtan 0 de

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Q: Find derivative  of f (x) = 5x^6+75x^2-45

A: We have to find the derivative of  f(x) = 5x6 + 75x2 - 45

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.