0 Sketch a sreph

Q: Given the graph of a function y = f(x) below, select the representation that best corresponds to the…

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Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Consider the given equation:

Q: Write the Leibniz notation for the derivative of the given function and include units. The…

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Q: State the original function. Given the function below, sketch a graph of its derivative on the same…

A: Original function is  f(x) = 12sinπx-π2+12

Q: The graph of the second derivative f" of a function f is shown. State the x-coordinates of the…

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Q: Tutorial Exercise Find the derivative of the function. 3. X -8 y = In Click here to begin! Submit…

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Q: Fill in the blanks. The derivative of ƒ(g(x)) equals ƒ′ evaluatedat multiplied by g′ evaluated at .

A: To calculate the derivative of ƒ(g(x)) :

Q: 1. f(x) = -2x – 1 %3D

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Draw the graph of y=tan-1x (inverse tangent function).

Q: g(x)=√3-x State the domain for the function and it's derivative using interview notation

A: We have to find the domain for the given function and it's derivative

Q: The graph of a function f is shown below. At the point indicated by A, determine whether the…

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Q: Fill in the chart below to find the derivative for f(x) = x3/3. Show your work. Do at least one…

A: The given function is

Q: Using the definition, calculate the derivatives of the functions. Then find the values of the…

A: Given p(θ)=3θ our aim is to find p'(1),p'(3),p'23

Q: of the function given by the equation derivations details.

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Q: derivatives (slope functions) for these function y= f(x); by hand, no simplification of the answer.

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Q: The graph of the second derivative f '' of a function f is shown. State the x-coordinates of the…

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Q: Find the derivative of each function. Write the complete solution

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

Q: Identify the graphs A (blue), B( red) and C (green) as the graphs of a function and its derivatives:…

A: f"(x)=A f(x)=B  We identify the given graph.

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

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Q: describes the derivative of a function at a point? a. a number b. an equation c. a function d. an…

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Q: The graph of a function f is given below. According to the graph, the derivative of the function…

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Q: The graph below, shows a non-specific piece-wise function. On the same coordinate gr sketch the…

A: Mark all the critical points on the graph for the given piecewise graph.

Q: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate…

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Q: Find each derivative using the definition of derivative. State the domain of the function and of its…

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Q: Find the derivative. Show all steps and simplify fully.

A: Given,          y=5x47-5x3

Q: The figure above shows the graph of f’ the derivative of the function f . If f (0) = 0, what could…

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Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (x4 - x)4

A: Given that the function is        f(x) = (x4 - x)4 Here we calculate the derivative of the function.…

Q: Graph off The graph of a function f is shown above. Which of the following could be the graph of f',…

A: Explanation: Given that a graph of f(x)

Q: Make a sign diagram for the derivative of the function. Rx) = + 4x - +5 f(x) ? v0 x= Find all open…

A: Find f'(x). Now this is our original function and apply all those rules on this new function to…

Q: The graph of fis shown in the figure. Sketch a graph of the derivative off. 2 a) -2 -21 b)

A: equation of parabola

Q: Below is the graph of y = r(x), use the pencil tool to sketch the derivative function r'(x). Be…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: We will use the limit definition of the derivative for finding the derivative of the given function…

Q: (x) = x² tan 3x+cot 3x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: When x tends to 2- then the sign of derivative is negative since it is decreasing from left side of…

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

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Q: The graph of the derivative f'(x) is given below. Find all that apply 2 1 + x -2 2 -2

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Q: Use a graphing utility to graph each function and its tangent lines at x = −1, x = 0, and x = 1.…

A: Given function is fx=x2. Differentiating the given function with respect to x, f'x=2x Now at x=-1…

Q: Consider the function ?(?) = ?"#!"#" a. Calculate and draw a sign diagram for the first derivative.…

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Q: For the pair of functions depicted in the graph, one of the functions is the derivative of the…

A: We are given the graph of a function and its derivative in the same graph and we need to identify…

Q: Calculate the derivative of the function. HINT [See Example 1.] f(x) = (x – 4)-1 f'(x) =

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Q: x²-1 4. f(x) = x²+1

A: We have to find the first derivative of given function using definition of derivative.

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

A: We need to match the graph.

Q: Find the derivative of the function.  Please put a box around the answer

A: f(t) = 4t2-tdifferentiate with respect to t,f' (t) = 124t2-tddt4t2-t⇒f' (t) =8t-124t2-t

Q: 6. f(x) = Vx – 1

A: This question is based on solving 0/0 indeterminate form using L Hospital rule.

Q: 2. f(x) = x5

A: From the definition of the derivative; The expression for the derivative of the function is:…

Q: Get the derivative of all the functions.

A: Given: 1) fx=x8+8x6+112) fx=18x To find: The derivatives of the given functions.

Q: Draw graphs of functions with the following properties. A function with a negative, decreasing…

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Q: Graph O in the red box below depicts the graph of a function f. Which of the other graphs A, B, C,…

A: An even function is symmetric to y - axis  An odd function is symmetric to origin

Q: Find the derivative of each function. Can you show me the answer simplified and not simplfied?

A: Find the derivative of the following functions

Q: xp Find the derivative of the function y = (csc x- cot x)-1.

A: Given, y=(cscx - cotx)-1

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: