Selected values of the differentiable functions and and their derivatives at * are given in the table belon Find the value of Im 2. -1 -2 ALTHF16 Pj ALTNI0Mar)

Q: the graphof the derivative of a function is given. Sketch the graphsof two functions that have the…

A: The graph of the derivative of the function f is observed as a straight line parallel to the x-axis…

Q: co find the exact values for the derivative of f at the given numbers. You

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Q: Consider the function g (x) = x5 , on the restricted domain [-8, 8]. Which of the following…

A: gx=x23The interval is -8, 8

Q: Find the indicated derivative. "针 1 if p = Vq+7 dq Select one: A.-, (q +7Wq+7 B. 1. + bML+bz C.…

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Q: 2 Z= 22,

A: Given  z=2x12+x1x2+4x22+x1x3+x32+2

Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

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Q: Find the derivative 1. y - 12 2. y = 8x³5x² of each function defined as follows. sredin 8² +1x + 5 -…

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Q: Suppose z is a function of x and y, and csc Vr² + yz = z"esin. Solve for dz and

A: A multivariable function is a rule that connects two or more variables. The partial derivative of a…

Q: By definition, we call a function differentiable at a closed interval [a, b] if it has:…

A: Option 1 is correct i.e [a right-hand derivative, a derivative, a left-hand derivative]  at every…

Q: Determine the first and second derivative of the function fx) = 3xe"

A: 20). In this question given that f(x) and find first and second derivative . Here i provide full…

Q: Explain why the Quotient Rule is used to determine the derivative of tan x and cot x.

A: We have to  explain why the Quotient Rule is used to determine the derivativeof tan x and cot x.

Q: froblem 2/ Drive the function below. t-y=Vx-secx+3 2-y=(Secx + tanx)(secx – tanx) 4-4=5+ Cota tan 9…

A: we have to find the derivative of the following.

Q: find the first and second devivatives involwing differencay Producte and guatients x+ 3 yo () () 12…

A: The given functions are 1. y =x2+312xx4-1x32. y = secx

Q: Find the derivative f(x)= Inlex+9)

A: To find: the derivative of f(x)

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

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Q: Use the following graph of the tunction f(x) = 3 sin z, which passes through A(-,-3), B(, 1.5), and…

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Q: he fの= X+ 3X-2 %3D し fox)= メ fの=(2x55 k fes- /xキ

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Q: are differentiable at a, then prove the sum and product rules for derivatives. If f, 9

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Q: Match the graph of the above function with the graph of its derivative. O O O O O Customize and…

A: Given Graph

Q: Find and simplify the derivative. 7/5 W g(w) = 7/5

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Q: Find the OF Of the function +² gcxl = S CX1 derivative fanx 2+€4 It

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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: