Find an equation of the tangent to the graph of y = f '(x) at x = −1 when f(x) = x3 + 6x2 + 2x.

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we will find the slope and equation of tangent

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

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Determine the point(s) at which the graph of f(x) =  -4x/square root of 2x-1   has a horizontal…

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Q: Find an equation of the tangent line to the graph of f(x) = xe−x at its inflection point.

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Q: (x2-1) (x²+1-x) Q4 / Find the equation of tangent line at x = 1, where f(x) x*-x3

A: A tangent line to curve is a line that just touches the curve only one point.

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: Find (a) the derivative y = -32 (b) find the slope of the line tangent at x-4 %3D (c) find equation…

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Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

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Q: 3. Find (a) the derivative 2, y = 4 -32x (b) find the slope of the line tangent at x-4 (c) find…

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Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

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Q: 3 + 3x – 5 Find the local maximum by solving the derivative P'(x)=0, – 2x + -- %3D |

A: Given Find out local maximum

Q: Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x = 1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3 Find the equation of the tangent line to the graph of y(x) = 4(x – 1)° at x = 2. Equation of the…

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Q: 9-x Find the equation of the tangent line to the curve y = ln at (0, 0)? 9+x

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Q: Find equations of the tangent lines to the curve y= (ln x) /x at the points (1, )d and (e, 1/e).…

A: y=In xx,  (1,0),(e,1/e) Find y'              quotient rule :fg'=f'g-fg'22…

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

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Q: 10. Find an equation of the tangent line to the graph of y = x - 3x? + 2 at (1,0). 11. Find an…

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

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Q: II. Find the standard equation (slope-intercept form) of the tangent line to the given function at…

A: topic- equation of tangent line

Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: Find an equation for the tangent line to the graph of the given function at (-2,3). f(x) =x - 1 Find…

A: Topic:- application of derivatives

Q: 1-x The equation of the tangent line for y = at (- 2, – 3) is 1+X

A: AS PER GUIDELINES I CAN ATTEMPT ONLY FIRST QUESTION

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: (:) 1 Find the equation of the tangent line to the curve f(x) : at the point x+1 Write equation in…

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Q: parabola y = x2 - 6x + 7 at the point (2, -1). SOLUTION From the previous example, we know the…

A: Given query is to find the equation of the tangent line on f(x).

Q: Find the equation of the family of curves whose slope at any point (x, y) is Find the equation of…

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Q: Vx-1 lim x-1 x-1 3 Question 6- Find the equation of the tangent line to y = - at the point where…

A: On solving first 3 question we will get

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A: Here we have to find the equation of the tangent line to graph of the function y =f(x)=4x2. Given x…

Q: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

A: A. Find the slope of the curve y = x² - 2x - 4 at the point (2, -4) by finding the limiting value of…

Q: Find an equation for the tangent line to the graph of the given function at (- 3,13). f(x) = x² + 4…

A: From the given problem:   fx=x2+4px1,y1=-3,13   The expression for the slope of the tangent to the…

Q: implicit differentiation to find y ′. x2⁄3 + y2⁄3 = 4   Find an equation of the line tangent to the…

A: Given that           x2/3 + y2/3 = 4 Here we have to find y' by implicit differentiation and also…

Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the…

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Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = xVx2 + 60 y =

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: 8. Find all the points on the curve y-2x +6x. at which the tangent to the curve is parallel to…

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Q: 6x* – 5x - 1 y 4-x2 Find the value of y when x = 1. y(1) dy Find dx dy Find the exact value of dy…

A: Consider the given function as y=6x4-5x-14-x2

Q: The tangent line to the graph of y=f(x) at the point (7,55) has the equation y=8x−1 (a) Find f′(7)…

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Q: A)Determine the equation of the tangent to the curve y = (2x2 – 3) (x + 1)2 at the point where x =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: f(x)= 16x2-4x+2; x=1 (a) Find the derivative, by using the definition (b) Find the instantaneous…

A: (A) Found the derivative using the definition. Answer: f'(x)=32x-4

Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: (VII) Find the equation of the curve for which the second derivative is 6. The curve passes through…

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Q: III. CHOOSE ONE PROBLEM AND SOLVE USING THE CONCEPT OF DERIVATIVE OR DIFFERENTIAL OF A FUNCTION. 7.…

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Q: 4. Find f'(x). 5. Find the points that have horizontal tangent lines. You must solve analytically.

A: f(x)=cos(x)lncos2x Take derivative with respect to x using product rule…

Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…