State the original function. Given the function below, sketch a graph of its derivative on the same viewing window.

Q: Approximate the value of √98 using the derivative.

A: Let us take the function: f(x)=xf'(x)=12xWe will take x=100at x=100f(x)=100=10f'(x)=12100=120

Q: Find the derivative of the function.

A:

Q: Use the graph of the function f(x) to sketch the graph of the derivative f’(x)

A: We have to graph the function f(x) and its derivative.

Q: Find the derivatives of the following function.

A: Find the derivatives of the following function.

Q: Find the derivative of the given functions.

A: Use differentiation to find the values

Q: Graph the derivative of the function graphed on the right. Choose the correct graph below.. O D.

A: Graph of given function is as below.

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: Graph the derivative of A(t),

A: To obtain the derivative of any function, differentiate the function with respect to the variable…

Q: find the derivative dr3

A:

Q: Find the derivative of the following function.

A:

Q: find the derivative of each function

A: To Find: The derivative of  18. fx=2x2-3x3919. fx=x3-5x2-320. fx=13x2-6x+2

Q: Find the derivative of the function.

A:

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

A:

Q: which graph is the derivative of the original graph?

A: The given function is shifted version of cos(x) Differentiation of cos(x) is -sin(x)

Q: Find the derivative of each function using the FTC Part 1

A:

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 THE FUNCTION.

A: The given function is fx=x3-3x2+4x2.

Q: Expand or simplify the function, and then calculate the derivative.                       f(x) = (2…

A: Given function is fx=2-x2+x. To simplify the function and then calculate the derivative. Solution:…

Q: Find the first derivative of the function below:

A:

Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: Find the derivative of the function below

A: Given,

Q: write an example of a function, f(x), whose derivative is itself.

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is the function,…

Q: The derivative of the function 1010 is equal to

A:

Q: Determine the derivative of the given function

A:

Q: Calculate the derivative of the following functions. #51

A: To evaluate the Derivativey=2ex+3e-x3

Q: Find the derivative of the function

A: To find: The derivative of y=cot 8x3. Concept used: Chain rule of derivative: fgx'=f'gx·gx Power…

Q: Find the derivative of the given function

A: Given,y=cot-11x-tan-1xFormula used in thi…

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

A: Plot the derivative for -∞<x<0. The function f(x) is constant in the interval -∞<x<0 so…

Q: Find the derivative of this function but Do Not Simpl

A: To find the derivative of the below function. gx=e−3x2

Q: Calculate the derivative for the following function, but do not

A:

Q: Use the definition of the derivative to differentiate each function.

A: Given : The function is f(x ) = x3 - 6x2 - x + 30 . Definition of the derivative as a limit :  f'(x)…

Q: Find the second derivative of the function. 1+20 (2-0) 20

A:

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

A: Answer: False

Q: Calculate the derivatives of the following functions:

A: Product Rule: ddx(f(x)g(x))=g(x)ddx(f(x))+f(x)ddx(g(x)) Chain Rule: ddx(f(g(x)))=ddu(f(u))ddx(g(x))…

Q: If the figure below is the graph of the derivativef', answer the following: Where do the points of…

A: Given query is to find inflection point and interval where f is concave down from the graph of f'.

Q: Find the derivative. 8

A: The given equation is

Q: Calculate the derivative of the following functions

A:

Q: Find the derivative of this function

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: Find the derivative F

A: To find the derivative

Q: Find the first derivative of the following functions

A:

Q: Find the derivative of the given function.

A:

Q: find the derivative of the function.

A: Given:      fx=cos25x+3+tan37x   differentiating on both sides     f'(x)=ddxcos25x+3+tan37x…

Q: Sketch the derivative of the function whose graph is below.

A: We have to sketch the derivative of the function whose graph is given .

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: Find the derivative y = 73

A: The given equation is: y=73t To find the derivative of y with respect to t.

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

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: