af e following, the dot notation is used to indicate the time derivative of a function, i.e. f = 1. Consider the following multi-variable function, f(x,x,t) = 20xx + x³t + 5x +i Calculate the following: a. af /ðt b. ôf /ðx c. ôf /ðx d. ) d (af dt \ax.

Q: 3x' +5 (3x° +5)* (6x)+(3x° +5) (3)(-3x - 4) (-3) -75-8x)

A:

Q: 0.0 2 -0.5 -2 -1.0 2 I II III 2. 2.

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A:

Q: What is the range of the cosecant function?

A: Range of cosecant function. Cosecant function is denoted by cosec x. cosec x=1sin x

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

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Q: 13. y = sin x+cos² x 14. y = tan r+sec? x

A: Given: 13.y= sin2x+cos2x 14.y=tan2x+sec2x

Q: b. f(x)=7x²e"

A:

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A:

Q: The figure below shows the derivative F' of F. Let F (0) = 0. F(x) लिए 4 1 2 3 of the four numbers F…

A: GivenThe graph of the derivative of the function is given in the question and also the function…

Q: 9x= (Jx+ x) (+xt) %3D

A: Given  g(x)=x+x2x3+x+2 To take derivative of g(x), we apply product rule (uv)'=u'v+v'u…

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Q: 2. Which of the following represents the derivative of the function: (1 Point) 2ty %3D

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Q: Locate the stationary point of the following functions and determine their character. y= 1/2x^4 -…

A: Please see the below picture for detailed solution.

Q: show work. ) 12) Find the derivative of function f(x)= In- 1+e* ( answer: 1+e*

A: The derivative of logarithm is expressed as ddx ln x=1x. The quotient rule of differentiation states…

Q: Determine whether each of the following statements is true or false, and explain why. The…

A: Answer: False

Q: Find the derivative for each function. ㄷ 7. y=x² +2 9. y=2x²-x+3 A. 6. y=3x²-6 8. y=x²-3x+2 10.…

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Q: The second derivative of the given function when x=0 is 3 points 2 y = - 4 14 OR Ок -4 None of the…

A:

Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

Q: Consider the function f (x) = x(Third digit of your ID number). Calculate the first derivative at…

A: Three point central difference formula.

Q: Explain the Secant function.

A: we have to explain the secant function.

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A:

Q: Differentiate the function. y = (4x-2)5 (5-x³) 5

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Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…

Q: According to the following data: (0,0), (0.2, 1), (0.4, 3), (0.6, 5), (0.8, 7), (1.0, 5), (1.2, 3)…

A: 6hD=-9i-2-10i-13i-2i+14i+2 0,0, 0.2,1, 0.4,3, 0.6,5, 0.8,7, 1.0,5,1.2,3

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: