.) What is the inner and the outer functions? b.) What is the derivative o

Q: Use linearization to determine an approximation of V1002.

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Q: (a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is…

A:

Q: Moreover, suppose F(x) = f(g(x)) and G(x) = g(f(x)). Use the chain rule to calculate the following…

A: f(x)=cot x  and  g(x)=5x-2

Q: Find the derivatives of the functions in Exercise

A: Given :                                  y =9x2+2x2+3To find :…

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: y=57x3+1-3

Q: Find the derivative of the function and evaluate (x) at the given value of x. 3x + 1 fx) = %3D ;ズミ3…

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Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: Find the derivatives of the functions in Exercise

A: Given function is: ft=t2-1t2+t-2⇒ft=t+1t-1t-1t+2⇒ft=t+1t+2

Q: In Exercises 5 and 6, write the function as a composite f (g(x)) and compute the derivative using…

A: Let us take Then we have By chain rue of differentiation

Q: Show that B is a linear function of Y,, Y2. Yn Show that B is conditionally unbiased.

A: The regression model is  Yi = βXi + ui We have to show that β is conditionally unbiased.

Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2)     a=1

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Q: Let y= (x+sin(x))^5 Find g(x) and f(x) so that y= (f∘g)(x), and compute the derivative using the…

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Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

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

Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y = (x +…

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

Q: Find the derivatives of all orders of the functions in Exercises

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Q: Find the derivatives of the functions in Exercise

A: Given w=re-r

Q: Find the derivatives of the following functions using CHAIN RULE. y=(5x + 1)2

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Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A:

Q: Find the derivatives of the functions in Exercise

A: y=x+1x+2x-1x-2

Q: Let y = (x + sin(x))³. Find g(æ) and f(x) so that y = (f o g)(x), and compute the derivative using…

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Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: write the function as a composite f (g(x)) and compute the derivative using the Chain Rule. y =…

A: Given : The function is y = cos ( x3 ) .

Q: Find the derivatives of the functions in Exercises 27. y = x2sin^2 (2x2)           28. y = x^-2sin^2…

A: To find derivative of 1) y=x2sin2(2x2)2y=x-2sin2(x3)

Q: to

A: We have to find the derivative according to the given information

Q: Find the derivatives of the functions in Exercise

A: Explanation: Given that,  w=(2x-7)-1(x+5)     Formula used: According to the product rule of…

Q: Find the derivatives of all orders of the functions in Exercises

A: Derivative of a function is defined as the change of variable with respect to another variable.…

Q: Find the derivative of the function. h(x) = In[(2x + 8)(3x +6)] a. (2x + 8) (3x +6) 1 1 Ob. (2x + 8)…

A: The objective is to find the derivative of the function h(x) .

Q: If (a,ß) is a saddle point of the function f(x,y)=20y²-y³+3x2-6xy, then a+ß=

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Q: g(=) = / Compute the derivative of g(x) dt. -2xe5 - 2xe - 2xe

A: Given           g(x) = ∫x21et3 dt

Q: Compute the derivative of g(æ) = e dt. 22 -2xe -2xe O -2re

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Q: Obtain the first and second derivative of the following real-valued functions 1. ƒ : R → R, such…

A: Solution :1.fx=23x3-2xfirst derivative ,f'xf'x=29x2-2Second derivative…

Q: Find the orthogonal trajectories of У — сх CX

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Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: Let y=(x+sin(x))^5 Find g(x) and f(x) so that y=(f∘g)(x), and compute the derivative using the…

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Q: (a) Solve and plot the orthogonal trajectories of the family of lines whose point of intersection is…

A: The equation for the family of straight lines y=c x By differentiating with respect of x…

Q: Calculate the derivative of y = /x+ If the Chain Rule only needs to be used once, which functions…

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Q: a derivative computation using the FTC and the chain rule t): df 13

A: Given : ddxFx3 =ddx∫13x3e-t2dt

Q: Use the Chain Rule to find the derivatives of the following functions. If h(x) = (3x + 1)", then h'…

A: Given

Q: the function f(x) = In 5x +3x + 13). 6. Differentiate ° 7. Find the derivative of the function .2 y…

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Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - %3D 5. O 21x^2 - 4x + 4 + C O 21x^2…

A: