Sketch the curve USING CALCULUS. Find all x and y intercepts if they exist, any asymptotes and/or end behavior, use first or second derivative test to find local extrema, find concavity and inflection points as applicable. x2 f (x) = x2 - X

Q: sketch the curve, solve it's symmetry, assymptote, inflectionpoints (using derivatives) Y= 1+lnx  /…

A: Given: y=1+ln(x)x

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: sketch the curve, solve it's symmetry, assymptote, inflectionpoints (using derivatives) Y= (x2-4)2…

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Q: Sketch the curve f(x) = x/(x-1)^2. Show complete solution

A: We have to sketch the given curve f(x) = x/(x-1)2. To sktech the given curve we will follow the…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: Use implicit differentiation to calculate higher derivatives. Use the method of the previous…

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Q: Use second derivative test, If f(x) = 4x +9 then f(x) has a local maximum at the point 3. I= 3 I =…

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3…

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: 1 y= tanx 4. 5. У3 CSCX

A: we have to find the derivative using limit definition

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: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Find equations of the two tangent lines to the graph of f(x) = 2x² that pass through the point (1,…

A: Given:- f(x) = 2x2  To find:- Equation of tangent lines passes through (1, -6)

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: ) Calculate the derivative of f1 (x) = 2x4 - 3x3 + 1/2x2 + 3. b) Study the sign of the derivative…

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Q: 7. f(x) = 3x -4x -1

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Q3. Find any local maximum and local minimum values, and then sketch the curve by using 2-1 fx =…

A: Given: The function fx=x2-1x2+1 To find: Local maximum and local minimum values, To Sketch: The…

Q: Find the derivative of the function by using the definition. Then determine the values for which the…

A: Find the derivative of the given function

Q: (a) f(x) =x² – 2r

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the tangent line to the curve y = 9^x at the point (2,81)

A: Given the curve is y=9^x at the point (2,81).

Q: y = Vx – 7 ,(7,0) -

A: Solution is written in below steps.

Q: x2-9 3.) f(x) = x2+3x

A: Here, the given function is: f(x)=x2-9x2+3x⇒f(x)=(x-3)(x+3)x(x+3)⇒f(x)=x-3x⇒f(x)=1-3x

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: find an equation of the tangent line f(x)=x+(6/x)    points (x,y)= (-6,-7)

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Q: Use the definition of derivative (do NOT use the short cut method) to find f'(x) given that f(x) =…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

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Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

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Q: neslope of the tangent line to the curve entline defined by x-2x4-443=-208 at the point (2,4)…

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Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

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

A: For the critical points find the first derivative and equate it to zero. Points of inflexion and…

Q: Find the equation of the tangent line to the graph of the function f(x)=4x3+5−−−−−−√ at the point…

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Q: Use differentials to give an informal justification for the chain rules for derivatives.

A: Consider the given statement. The chain rule of derivatives is defined as. dydx=dydududx Let's take…

Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…

Q: find the slope of the furetion at Quen point. use the derivative feature of a graphing utility to…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the equation of the tangent to the curve x2 = y²x + 2 at (-1, 1). Use graphing software to find…

A: To find the equation of tangent at the given point

Q: Use one of the definitions of the derivative at a point to determine the slope of the tangent line…

A: The given function is fx=2x2-x at the point 1,1. Definition of the derivative at a point is…

Q: Find the derivative of the curve f(x) = 3x² - 6x + 1. Use the result to find the slope of the…

A: Follow the procedure given below.

Q: Find an equation of the tangent line to the graph of function f(x): 3 %3D x+5 at the point (2, ).…

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Q: Find the derivative of f(x) = x² + 3x – 5 -

A: From the limit definition of derivative, f'(x)=limh→0f(x+h)-f(x)h

Q: Let y=4x4 + x. At what point is the tangent line to the graph perpendicular to the linet tangent to…

A: if line L1 having slope m1 and line L2 having slope m2 are perpendicular then m1m2=-1

Q: How to find the slope and equation of the tangent line to the graph of the function f at the…

A: We have to find slope and equation of tangent line to f(x) at (2,18) where f(x) is given.We have…

Q: Use the second derivative test. Show Graph. Find all relative extrema of ƒ (x) = xª – 4x³ + 1

A: Given function is  fx=x4−4x3+1

Q: Find the equation of the tangent and normal line of the function f(x) = \sqrt(2x−1)​ at the point…

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Q: Find the equation of the tangent line

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Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: Use the definition of derivative to find f '(x) given that f(x) = 2x-5x +3 (do NOT use the shortcut…

A: The definition of derivative of f(x) is given by Given,  applying the definition of derivative we…

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: find the derivative of f(x) = x-3/3x+4 using the limit definition of the derivative. then state the…

A: Given            fx=x-33x+4

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: Find the equation for the tangent line of the graph of y = x² at (-3, 9). Equation:

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Q: Use implicit differentiation to find at the point (-2,3) on the curve x³ + y% = 19.

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