-가 Question-2 a) Find the derivative of f(x) = 2x? –- at x = 3 using definition of derivative at a point. (6+ 2x, 0 < x < 3 x = 3 b) If the function g(x) = }a, (kx, is continuous, then find the 3 < x< 6 value of k and a. Oueg

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A: Given: fx=8logx4-3xsinx We know that ddxuv=vdudx-udvdxv2…

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A: This questions is related to differentiation,  We will solve it using given information.

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Q: 1. Using the First Derivative Test, explain why the function f(x) =-2x has no extrema on any open…

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Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

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Q: Example: Sketch pictures of some functions that would not have a derivative at x = 2.

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Q: Let F(x) be a function whose derivative F' (x) = f(x) is graphed below: -3 -2 3 6 --1 = -11.75,…

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Q: Pregunta 15 The derivative of f (x) = 81-2z² is f' (x) = (-4x) 81–2z² OTrue O False

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Q: true or false?  If the second derivative is 0 at a point then the point is an inflection point.

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Q: 1 Use the fundamental theorem of calculus to find the derivative of g(x)= | dt. +1

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Q: Tutorial Exercise Write the first derivative of the given function. [In(x)]34 x² f(x) = For which…

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Q: Find a function

A: This is very intresting question because there are so many function on an interval whose first…

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Q: a f(x) = x² sec (ax)

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Q: Example 0-12: What is the derivative of f(x) = 4x(x² + 1)3?

A: given

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Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: On [-8,0] the value of the first derivative of f(x)= x^2 is positive. True or False?

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A: given,  y''=2xx2+3x2-13 we have to discuss the concavity using second derivative.

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Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

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Q: 2. how does differentiability and continuity determine the derivative of functions?

A: Differentiability and Continuity

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A: Given

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Q: Ах3+ Вх + 2 , x2

A: Solved below

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A: We have to prove

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A: The objective of the question is determine the equation of tangent line to the given function.

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Q: 5. f(x) = 3-5x+ x use limit definition of derivative)

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Q: Module 4: Participation Activity #2 p>Find the second derivative of f (x) = a4e" . f" (x) =

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