Differentiate with respect to x the following functions. 19. V(x + 1)V( + 2)8. 20. ((1+2)81 2 + x2 f 21.

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

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Q: Evaluate the piecewise defined function at the indicated values. Sx² f(x) if x < 0 %3D lx + 7 if x…

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Q: Differentiate the following function

A: The given equation is

Q: Plot the following functions 1. y = - v2x +1 2. у %3D (х — 1)3+2 3. y =- 2x

A: 1. Plot of y=-2x+1 is shown in below figure:

Q: 2 3/2 (1² + 3 + 1)*/² from y = 1 to y

A: Solution

Q: For the function ƒ(x) = 2* we use the two-point formula to approximate the first derivative of f at…

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Q: Differentiate the following functions: ex- e-x 2. y e*+e-x

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Q: Differentiate the following function. y = 6 e* (1+3 ex)2

A: To differentiate the given function :

Q: 2. a. Find relative extrema of the following functions: 2 9x y = х2 — 25 y = x² + 9 Please show…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: h) f(x) = e4sin(5z+2)

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Q: Differentiate the following function. f(x) = x° e 9x f'(x) =D

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Q: Differentiate the following function with respect to X. eX + 3Y =1

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Q: Differentiate the following function. y%3De y' = le**

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Q: 2. Differentiate the following function: y = Jo tan 2x Hs dt. 1+t3

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Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

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Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Differentiate the following function.   y = (ex + 1) / (x - 1)

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Q: Iff is a one-to-one function with f(9) = 3 and f'(9) = 2, find the equation of the line tangent to y…

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Q: 8. Order the following functions from slowest growing to fastest growing as x→∞. a. 2* c. (In2)* b.…

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Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100x0.6,0.4, where…

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Q: Differentiate the function. f(z) = ez/(z-8)

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Q: Given the following function: y = x^4 - 8x^3 + 22x^2 - 24x + 2 on [0, 4], find the absolute extrema…

A: To find the absolute extrema of a continuous function on a closed interval [a, b]: Find all…

Q: +V2x y =

A: According to the chain rule of differentiation:

Q: y = V4x3 –6

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Q: Determine the rate of change of the function, given the info below. f(x) = -2x+ – 3x +1 at x = 5.…

A: The given function is                                  f(x)=-2x4-3x+1  .........................(1)…

Q: 2 (d) T (z) = VE + 97 -- %3D (e) h (x) = x"- æv2 %3D

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Q: Differentiate the following function. f(x) =x° e 10x f'(x) =O

A: Topic :- Differentiation

Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values.…

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Q: 14х y = Зх-6

A: Given:   To determine: excluded x value for the function.

Q: Find the intersections between the two given functions algebraically. Correct answers without…

A: The two given functions are, y=x2-4x+2y=2x+1

Q: Determine all the relative extrema of the following function S(x,y) =-x* +2x'y- 1 - 4y+12 APPLIED…

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Q: 22. For the following functions, identify any points of discontinuity, and if any exist, classify…

A: Solution is given below..

Q: Q 5. Find all relative extrema of the following function. f(x)=2x³ – 2x² -2x+1

A: We have to find the all relative extrema of the function: fx=2x3-2x2-2x+1 To find extrema of…

Q: 1. Jake the derivativeR of the function f(x)= bxtax(10+d) and list f(x) values for x= 0: 0.1:1 range…

A: # we are entitled to solve one question at a time, please resubmit the other if you wish to get it…

Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100 x0.6 where x is…

A: The Cobb-Douglas production function is a special functional form of the production function which…

Q: Differentiate the following functions with respect to x; (a). f(x) = 7x5 + 2loge x – 8e2x + 20x –…

A: The differentiation is given below

Q: I. Differentiate the given functions: (simplify your final answer) 1. f(x) = 3e* – 9* %3D -

A: fx=3ex-9x

Q: Differentiate the following function respect to x 1. p = ex2sinx

A: Given that: p=ex2sinx

Q: Differentiate the following function with respect to x for y=2e^3x + 8e^9-2x .

A: Given equation is y=2e3x+8e9-2x Differentiate with respect to x.  then,

Q: For the function f(x) = Væ + 10, find f-1(x). f-1(x) = x? – 10 f(x) = Va – 10 O f (æ) = (x – 10)² f…

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Q: Suppose f(x) = x^3 . Using the definition of derivative, compute both f'(x) and f''(x). (Hint: You…

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Q: Consider the following function. f(x) = x3/2 Find its average rate of change over the interval [1,…

A: The objective is to find average rate of change over the interval [1, 16].

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Given is the function  z=Ay6+Bey Differentiate the function with respect to y and with respect to t…

Q: Match the below functions to their graphs on the right: a. f(x) = vx b. f(x) = |x| C. f(x) = x? %3D

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Differentiate the function.

A: Given: y=ex1-ex

Q: Differentiate the following functions. SHOW ALL WORK! (a) y=(t+1)/2^t (b) k(x)=(x^3 + e^x)^4

A: Differentiating the function

Q: Consider the following function. f(x) = x3/2 Find its average rate of change over the interval [1,…

A: Given function