2. Sketch the derivative of the function whose graph is given below. Explain why you drew it the way that you did.

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

A:

Q: Find the derivative of function defined as follows.

A: we have to find the derivative of the given function . y=2x7-8x

Q: Find the derivative of the function at the given point (a) by approximating the definition of the…

A: Given: f(x)=x1x   To prove: Find the derivative of the function at the given point (a) by…

Q: Find the second derivative of the following function: f(x) = esinx %3D

A:

Q: Graph the derivative of the function in Figure (B), omitting points where the derivative is not…

A: Here graph is given Equation of lines AB and CD can be found by general equation of line,…

Q: Differentiate the following function. You do not need to simplify the derivative. - 9x e G(x) : x5…

A: Simply differentiate Using concept of derivative of the form f = uv

Q: Find the derivative of the following function

A: Let the given function be - y = 5x + tan-11xDifferentiating on both sides with respect to x - dydx =…

Q: Calculate the derivative by expanding or simplifying the function. P(s) = (4s − 3)2

A:

Q: Find the derivative of the following functions.

A: Derivative of a function represents rate of change of that function.

Q: please show ALL your steps

A: we are given a function

Q: Find the derivative of the function y = coth 8x2

A:

Q: Find the derivative of the function. g(x) + g'(x) = + 3.

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Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Find the derivative of the following:

A: The given functions are:a. fx=3x+tan2xb. y=cos32x.We need to find the derivative of the above…

Q: Find the derivative of the function  f(x)= arccot(square root)

A: The solution of above question is written below.

Q: Graph the derivative of the function graphed on the right.

A:

Q: 45° а. с. b. d.

A: (a) From the given graph, it is the straight line that is parallel to x-axis. Therefore, the…

Q: Here is the graph of the second derivative of a function g(x). g"(x) Where does g(x) have a point of…

A: Inflection point is at that x value where the double derivative of the function is 0.

Q: Find the derivative of the function f(x) = coth−1(x2)

A:

Q: 2. Find the derivative of the following functions:

A: a) Givenf(x)=x4+3x-2+2exDifferentiate f(x) w.r.t xf'(x)=ddx(x4+3x-2+2ex)Applying linearity…

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

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

A: Graph has a horizontal tangent between x=-2 and x=-1, at x=0 and at x=2.9, Therefore graph of f'…

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

A: Given-  The derivative gives the instantaneous rate of change of a function. To determine- Whether…

Q: Find the derivative of function defined as follows.

A: Given y=8x2-3x

Q: 1 . Use the definition of the derivative to compute f'(x) if f(x)

A: We use the limit definition of f'(x)

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Tryto guess functions that have the following as their derivatives. 2x

A:

Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Find the derivative of the following function. f(x) = In csch 16x

A:

Q: Find a function whose square plus the square of its derivative is 1.

A: To Find a function whose square plus the square of its derivative is 1.

Q: Match the graph of the function on the right with the graph of its derivative.

A:

Q: Suppose that the second derivative of the function y = ƒ(x) is y′′ = (x + 1)(x - 2). For what…

A: For inflection point we must have y" = 0

Q: Find the derivative of the following

A: Question 9,Given,          fx=25x34x2

Q: 5) Explain why the definition of a numerical derivative does not exist at x = 2 in the graph shown.…

A: The objective is to explain the reason definition of numerical derivative doesn't exist at x=2 in…

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

A: Answer: False

Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: Suppose the derivative of f is f '(x)=- At what values of x does the f does have a x slope of -4.

A:

Q: Find the derivative of the function.

A:

Q: ole) = g(x) : gʻ(x) =

A:

Q: Sketch the graph of the derivative of given functions 30 45° а. С.

A: (a) Given-  To draw- The graph of the derivative of the given functions. Concept used- As the above…

Q: 9. Use the definition of a derivative change of the functions below at f(x)% = x² + 2x

A:

Q: 13. Sketch the derivative f'(x) for this graph of f (x):

A: Graph drawing of f'(x) problem...

Q: Which of the following is not an equivalent way of expressing the term "derivative?"

A:

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

A: Graph

Q: sketch the derivative function g'(x). Be prep= oxplain bow vou

A:

Q: Can i get help step by step please?

A: From the given graph, it is observed that the graph of the function is slightly increasing and then…

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

A: The given statement is, The derivative of a sum is the sum of the derivatives.

Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)

Q: Can you please help me step by step with this problem?

A: To identify the (correct) graph of the derivative of the function whose graph is given