f(x)-x^3-x+1, a tangent line is drawn to f at x= -1. Using the equation of the tangent line, estimate the zero of f.

Q: Find the equation of the tangent line to the function f(x)=−3x2−2x at the point where x=1. Give your…

A: Here we find the equation of tangent line of the function fx=-3x2-2xat x =1

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Q: OFind the eguation of the tangent line for f(x) = 6x²-3x +a when x= 5. You may problem. use…

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Q: Find the equation of the tangent line to the function f(x)= x^3-4x at the point where x=0. Do not…

A: Here first we find the slope using the formula m=f'0 Then equation of the tangent at point x = 0,…

Q: 11) differentiate the function and find the slope of the tangent line at the given value F(x)=…

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Q: find the tangent line of f(x)= 3x-4/x+1 at x=0

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Q: Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x…

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Q: Use second derivative test, If f(x) = 25x + 10 then f(x) has a 3 local maximum at the point_

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Q: Determine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent…

A: Our aim is to determine the coordinates of the points on the graph off(x)=5x3-2x2 where the tangent…

Q: Find all relative extrema of the function f(x) = x* – 4x2 + 2 by using the Second Derivative Test…

A: Given, The function  fx=x4-4x2+2 We have to find the all relative extrema of the function using the…

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

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Q: Using either limit definition of a derivative at a point, determine the equation of the tangent line…

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Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

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Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: Using the criterion of the first derivative, find the graph of the function: F(x) = 114 (x*) + 4,…

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Q: Find the x value(s) of any relative extrema. Use the Second Derivative Test to verify. f(x) = -x3 +…

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Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: Using the definition of derivative, find the derivative of f(x)= /3-x

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Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

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Q: Using the First Derivative Test, what are the local extrema for the function s(x)=−23x3+10x2−48x−1?

A: Given Sx=-23x2+10x2-48x-1

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

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: Find the equation of the line tangent to f(x)=3x2 +4x+5 at the point (0, 5)

A: Given : f(x) = 3x2 + 4x + 5 A point (0, 5)   To  find the equation of the tangent line.

Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: f(x) = x² + 2x when x

A: The answer is given below

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: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

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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: ve of the function using the definition of derivative. = V7- x 1 2 7-x n of the function. (Enter…

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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: Compute the derivative f(x)= cubed root of x + 3/x5

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Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: Determine the function f(X) such that the slope of its tangent line is given by sqrt(3x+1) and the…

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Q: Use the definition of derivative to find f(x) = 2-x+2x^2

A: Given,          fx=2-x+2x2

Q: X where tangent line is horizontal. f(x)=x3-4x2-9x+13

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Q: b) Use second derivative test to find absolute maximum and minimum values of f (x, у) 3 Зху — 6х —…

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Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: Find all relative extrema of the function f(x) = x² - 4x² + 2 by using the Second Derivative Test…

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Q: Joha Find the derivative of the 1 1- f(x)= 2x+3

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Q: Use the second derivative test to find all relative extrema  f(x)= x+4/x

A: The given function is as - f(x) = x+4xProcedure to find local extremas - 1. Find f'(x)2. Put f'(x) =…

Q: Find the absolute extrema of the function f(x) = - x* + 50x2 - 625 on the interval [- 6,6]. Find the…

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Q: f(x) = (6x – 7)(2x + 3) %3D

A: Given  f(x)=(6x-7)(2x+3)

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: How do you find the derivative of f(x)=5/1-8x using the definition of a derivative?

A: The given function is f(x)=51-8x

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: Use the fact that the derivative of the function f(x) =- is f'(x) = to find the equation of the…

A: We need to find the equation of tangent to the graph of f(x).

Q: Estimate the slope of the tangent to the function f(x) = (x + 1)^2(x - 4) at the point of abscissa…

A: Introduction: A tangent line is one that intersects a curve at the so-called point of tangency.…