Q2: Use symmetry, first derivative, second derivative, and asymptotes to graph the x2-1 function:y = 2-x

Q: Find a general formula for f.(n) f(x)=9x2ex Talking about formula to find any derivative

A: Given function

Q: (a) Find the equation of the tangent line to the graph of the function f(x) = 3x² at the point (-2,…

A: (a)   Differentiate the function with respect to x is,   Substitute -2 for x in the above equation.

Q: Find an equation for the tangent line to the graph of the given function at (3,2). f(x) = x² - 7…

A:

Q: The graph of the function f(x) = 4x° – 48x has one local maximum and one local minimum point. Find…

A: To determine: The local maxima point.

Q: b) Use the definition of the derivative to find the derivative of f(x) = 4x³ + - at a = 1. 23

A: Given: fx=4x3+1x3; x=1 We know that ddxxn=nxn-1                                          ..1

Q: Using the derivatives of In x, tell in a complete sentence why Inr is increasing, and why its graph…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the 3rd derivative(y''') of the situation stated below 1945, a narra seed was planted same…

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Q: Determine all maximum and minimum turning points of the function: y= 3x* + &r' -90 Find also, the…

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Q: In the following, find the first derivative: 13. y (3-x)(x -x + 1) 14. y = (x - 1)(x %3D

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Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: Graph y = - x“ + 2x² – 10 function using x- and y-intercepts, critical points, points of inflection,…

A: Plot the graph for f(x).

Q: Ex.2 : Use first derivative , second derivative, and the graph y= x²-4 to asymptotes X-1

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Q: Find the maximum and minimum values of the given functions using the Second Derivative Test and…

A: Given y=x2-25   ..... (1) The first derivative of the given equation is, dydx=2x Now, dydx=0⇒x=0

Q: Graph the function. Then use the derivative and algebra to find the location of the critical points…

A: We will use a graphing calculator to graph the function.

Q: Use symmetry, first derivative, second derivative, and asymptotes to graph function:y: 2-x

A: The given function is y=x2-12-x ...............(1)

Q: Q3:- Use the definition of derivative to find the tangent and normal equations of f(x) = x-3

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Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: 4.The given function is, f(x)=x3-3x2-9x-1

Q: Write cosh(ln(x)) as a rational function of x.

A: Cos h (lnx)We knowCos h (a) = ea+e-qzsoCos h (ln x ) = elnx+ e-lnx2                       = x+1x2…

Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

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Q: Sketch the graph with details of the function below by using the first and second derivative tests.…

A: We will use following properties of f(x) to draw its graph  # vertical asymptotes are vertical…

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

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Q: O Use 1st and 2nd derivatives, sketch the graph of given function 2x x² - 1 f(x) =

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

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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: 13х — 7 - Find the derivative of f(x) = Show all steps. 2х — 1 -

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Q: = -log₂ (x+3) y=. Equation of Asymptote: Mapping Rule: 2 0

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Q: 8. Sketch the graph with details of the function below by using the first and second derivative…

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Q: 3. Match the graph of each function in (a)-(d) with the graph of its derivative in I-IV. Give…

A: We know that graph of derivative is the slope of tangent of the function.

Q: find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all…

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Q: Find derivative х3 — ху? + у3 1

A: In implicit differentiation on differentiating y, we need to use dy/dx

Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

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Q: 1. Sketch a function that has a horizontal tangent line for all values of x. Explain how you arrived…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find points of inflection of the function and determine the open intervals on which the graph is…

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Q: Sketch the graph of y= x²+ - by using the properties of the derivative. 2

A: To sketch the graph

Q: When looking at the graph of an original function, how do you know when the derivative of the…

A: To find the derivative, for your visualization, just draw the graph and the graph of its derivative.…

Q: 3. 2.

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

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Q: Make a sign diagram for the first and the secon derivatives and then graph the function…

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Q: lim x→0 4-Vx+16

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Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: The function g has first derivative given by g'(x) What is 1+x + x3 the x-coordinate of the…

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

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Q: II. Use the differentiation rules to solve for the derivative of each function. Show your complete…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: with the limit definition of a derivative find the derivative of g(x) = (x-1)^2 + 1

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Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: Find the x-coordinates of all local maxima using the second derivative test. f(x) = x³ + 4x² + 10 If…

A: The given function is  f(x)=x3+4x2+10 the graph of above function is given below.. as shown in…