Match the boxes Average Rate of Change The overall limit DNE when: Instantaneous Rate of Change The overall limit exisits when: :: The slope of the secant line IIII :: The slope of the tangent line :: the left limit equals the right limit :: the left limit does not equal the right limit

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: The derivative of position with respect to time is ... O velocity

A: Velocity is the derivative of position with respect to time.

Q: het's say y is the derivative function of x and i Ty CoS 17 Find the 11

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Q: Find the values of x where the tangent line is horizontal for the graph of f(x) = - 4x² x + 2 O A.…

A: The given function is: fx=4x2x+2. We have to find the values of xwhere the tangent line is…

Q: Write the equation to the tangent line to the graph of f (x) = In( x² – 3) at the point (2,0) -

A: Using formula of equation of tangent line to the graph

Q: Sx=zln (cot a) Find the derivative to Ly- tam a + ot a

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Q: Use implicit differentiation to find ∂z/∂x and ∂z/∂y. x - z = arctan(yz)

A: Consider the provided question,

Q: Match each function form with its derivative. Be careful, since the variables are different than in…

A: Follow next step

Q: if Y-t-Cost and s:t+Cost, find the derivative dr ds

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Q: Find the equation of the tangent line to f(x) = x² + x at x = 3. Sketch the function and this…

A: The slope of any curve at any point is equal to the derivative of the curve at that point. The…

Q: What is the slope of the tangent line to the curve y=X at 0.89 (use 3 decimal places, Add your…

A: Explained below

Q: Q2/ Discuss the relationship between the derivative and (Lim) with drawing if it is dx required ?

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Q: e sin e Use logarithmic differentiation to find the derivative of y with respect to 0:y Vsece

A: Solution : We need to find out the derivative of y with respect to θ by using the logarithmic…

Q: Which of the following best describes the derivative of the function at a point?

A: The derivative of a function in calculus of variable standards the sensitivity to change the output…

Q: dy for the curve y = x. da %3D Using the process in the video as a guide, use implicit…

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 2/ Pind the Pirst derivative X. tan X. (3-2x ). 5x

A: Given equation is: y=x5.tan-1x3-2x.x3 To find the first derivative.

Q: Verify the following derivative formula using the Quotient Rule. d (csc x) = - csc x cot x Choose…

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Q: Jse implicit differentiation to find the slope of the tangent line at the point (3, 1) for the…

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Q: The "average rate of change" of a quantity is equivalent to which of the following? O Slope of the…

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