Why is e^x^3 using the product rule instead of the chain rule??

Q: 3 [(V) dt -

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Q: of tax returns that will be electronically filed for 2010 using exponential smoothing with α=0.1

A: Solution

Q: Suppose 15 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Please refer the attached image for complete solution.

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Q: We just found a linear relationship between X' and Y', but these are the transformed variables. What…

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A: The framework in which all biotic and abiotic components thrive in the environment. Plants, animals,…

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

A: Given: y=8x4+53

Q: Suppose 30 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: We have the following data : Initial number of plants = 30 Spreading rate = 80% a month Carrying…

Q: Is the logistic equation separable?

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Q: Describe the Chain Rule for the composition of two differentiable functions in your own words.

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Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

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Q: apply chain rule to the problem

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Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Find anti derivative of    3cos(x)-7x4+2x5

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Q: 1. Create the equation where life expectancy of a person is positively affected by the number of…

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Q: What is the Intermediate Value Property?

A: Definition of Intermediate value property.

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: How do you use the chain rule to find the derivative of 10 to the power of 2 times the square root…

A: We have to find the derivative of the function rt=102t using the chain rule. The derivative of a…

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: 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: fcac) fCre)ニ2x+5

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Q: zu +16n + 20.

A: Given: An expression n2+16n+20 To find All possible remainder when it is divided by 11.As per our…

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A: "Since you have posted a question with multiple sub-parts, we'll solve the first three sub-parts for…

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: Explain the calculate Fse for the simple effect.

A: In a simple effect ANOVA, the testing is done with the aim to check the effect of one independent…

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

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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: 4 - 1 У — уз - 1

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Q: How the processes of integration and differentiation can be considered as inverses of each other

A: It is known that ∫ fx dx=gx+C, where C is some constant whenever g'x=fx.

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: How do you prove the general power rule of derivatives using the inverse property (x^n=e^(nlnx))?

A: The general power rule:

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Q: In your own words, describe how to recognize when to use the Product Rule, when to use the Chain…

A: Product rule of differentiation can be applied when the product two given functions f(x) and g(x)…

Q: Explain how to find a differential of a function.

A: Let us consider a function f(x) and its differential to be f'(x)

Q: Discuss how the processes of integration and differentiation can be considered as “inverses” of each…

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Q: Find the derivative. (Hint: do chain rule. ) * 12° dt 6x 8x6 12x/2

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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

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

Q: Suppose 19 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

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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: The Beta function can be expressed in alternative form by substituting

A: Bx,y:=∫01tx-11-ty-1dt

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

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Q: low fast is

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