4) Sketch the graph of the derivatives f' of the given graph below on the same grid.

Q: Sketch the graphs of two functions that have the given derivative: f'(x)=2

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Q: Find the second order derivatives of the function cos3x

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Q: 1. Compute the derivative of y = tan2(42)

A: Answer and explanation is given below

Q: 1. Compute the derivative of f(x) = arcsin(x² e³*).

A:

Q: Find the derivatives of the function defined as follows.

A: The function is:        y=lntan2x Find the derivative of the function.

Q: Find derivatives of the function defined as follows.

A:

Q: Find the derivatives of the functions defined as

A: Consider the function: y=tan xx-1. Find the derivative of y. Apply quotient rule of derivative that…

Q: Find the derivative of function defined as follows.

A: Given that, y=6x4

Q: Find the derivatives of the function defined as follows.

A: Differentiation of the given function can be done with the help of differentiation formulas.…

Q: Sketch the graph of a function z = f(x, y) whose derivative fx is always negative and whose…

A: Given that z=f(x, y) fx is always negativefy is always positive

Q: Find the derivatives of the function defined as follows.

A: Given: y=ln|sinx2| To find dydx

Q: Find the derivatives of the function defined as follow y = 2 tan(2x + 8)

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Q: What is the third derivative of f (x) = a + cosæ?

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Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

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Q: Find the derivative of function defined as follows.

A: Given y=8x2-3x

Q: he figure shows the graph of the derivative f' of a function f. yA y= f'(x) -2/

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

Q: Sketch the graph of the derivative for function shown.

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Q: p(x) = In(x)^/x

A:

Q: Find the derivatives of the function defined as follow y = 2 tan(4x + 9)

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Q: f(t) = In- t

A: Given f(t)=ln(1/t) We need to find the derivative of the function.

Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: 4. Determine the following derivatives without simplifying either before or after.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the derivatives of the functions defined as y = cos (4e2x)

A: Given information: The function is y=cos4e2x. Concept used: Chain rule of…

Q: Suppose 8 (x) =sec='(x<). what is the derivative of g with respect to x?

A: We can find the answer as below.

Q: Find the derivatives of the function defined as follows. y = -3e2sin x

A: The function: y=-3 e2 sin x

Q: Find the derivatives of the function defined as follow y = cos5 x

A: To find the derivative of the function, y=cos5x, use the power rule, ddx(xn)=nxn-1 and the chain…

Q: Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.

A: Consider the given: The numerical derivative does not exist a point in three cases: 1) when there is…

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: 5. Use implicit differentiation to find y'. a) хеУ 3 х — у

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

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Q: Find the derivatives of the following function f(x) from the first principal tan 2x

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Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: а-х Find the derivatives of the following functions Tan 1+ax

A: See the attachment

Q: Compute the derivative of the function f (x) = tan x2 +1

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Q: Find the derivatives of the functions h(x) = x tan (2√x) + 7

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Q: f(x)

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Q: Find the derivatives of the functions defined as follows.

A: Given, y=-cos2x+cosπ6

Q: Find the derivative of f(x) = et tan( – 82° + 5a“). - f'(x) =

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Q: Find the derivatives of the functions defined as y = ecos x

A: Derivative of ex=ex Derivative of cos x =-sin x

Q: Consider f(x) = tan2x and g(x) = sec2x. What do you notice about the derivatives of f and g? What…

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Q: Compute the derivative of f(x) = arcsin(x² e3=).

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Q: Sketch the graph of the function f whose derivative has the given graph

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Q: Sketch the graph of a function whose derivative satisfies the properties given in the following…

A: Graph

Q: Find the derivatives of the functions defined as . y = tan8 x

A: To find the derivative of function y=tan8x

Q: Find the derivatives of the functions r = 6(sec θ - tan θ)3/2

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Q: Compute the derivative of f (x) : = arcsin(x² e³«).

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Q: Find the derivatives of the functions defined as follows.y = -4 cos(7x2 - 4)

A: The given function is, y=-4cos7x2-4 If a function is the function of some other function as y=fgx,…

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

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Q: In x g(x) = 2

A:

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: