Find all the values of z where the graph of f(r) = 2x - 36z + 192z - 10 has a horizontal tangent line. The smaller one is x = and the larger one is x=

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…

Q: 3. Determine the value of b if the slope of the tangent to f(x) = (3x² + 1)(2x² + b) at x =– 1 is –…

A: given,       fx=y=3x2+12x2+b    slope of the tangent, at x=-1      dydx=-16

Q: Given f(x) (x – 4)(-5x – 3), find the (x, y)-coordinate on the graph where the tangent line is…

A: For coordinate of horizontal tangent line  Differentiation of given function Finding critical point…

Q: (a) If F(x) = 12x/(3 + x²), find F '(3) and use it to find an equation of the tangent line to the…

A:

Q: Given f (8)-3, f'(8)--5, find the equation of the tangent line at x - 8 a) y+3 (x-8) b) Oy +5 -3(r -…

A: We have been given f(8) = 3 and f'(8) = -5 and we need to find the equation of tangent line x=8.

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find an equation for the line tangent to the graph of f at (2,15), where f is given by…

A:

Q: Find the COORDINATE POINT(S) of the extrema by using the Second Derivative Test. M needed for these…

A:

Q: Find all points (x, y) on the graph of f(x) = x - 3x + 8x + 23 with tangent lines parallel to the…

A:

Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

A:

Q: Find all values of x for which the tangent line of f(x) x2 + 18x + 96 is horizontal.

A: fx=x2+18x+96 Differentiating with respect to x, we get f'x=ddxx2+18x+96=12x2+18x+96·dx2+18x+96dx…

Q: If f(x) = 3x 2 − 5x, find f' (2) and use it to find an equation of the tangent line to the curve y =…

A:

Q: The graph of ax + b f(x) = (æ – 1)² has a horizontal tangent line at (–3, –). Find a and b.

A: For horizontal tangent line at a point derivative of the given curve is zero , just used it and…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Find all points (x, y) on the graph of f(x) = x° - 4x + 15x + 10 with tangent lines parallel to the…

A:

Q: Find the points on the graph of x^2+2x+4y^2=4+y where the tangent line is horizontal

A:

Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of…

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)…

A:

Q: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: 2. Find all points at which the tangent line is horizontal on the graph of the function f (x) = 2x3…

A: The slope of any horizontal line is 0. and the slope of any function is just its first derivative.…

Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…

A: We have to find slope to given equation by derivative.

Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

A:

Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

A:

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: 6. Determine the x-value(s) of the point(s) on the graph of f (x) = 3x³ – 11x – 2 where the tangent…

A: The function f(x)=3x3-11x-2 where the tangent line is parallel to the line 10x-2y-18=0

Q: Given that f(2) = -5 and f'(2) = 3, find an equation for the tangent line to the graph of y = f(x)…

A: we have to find equation of tangent line

Q: Given that f(3) = -1 and f'(3) = 5, find an equation for the tangent line to the graph of y = f(x)…

A:

Q: Find h'(-1) if h = fog, f(x) 3x2 8 and the equation of the tangent line of g at --1 is y = -2x +7.

A:

Q: Find all values of x for which the tangent line of f(x) = V x2 + 18x + 96 is horizontal.

A: Given that, the tangent line horizontal. That is it is parallel to x axis. The equation of the…

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Find the equation of the tangent line to the graph of the function f(x) = (22 +6) (z – 3) at the…

A: Fund the equation of the tangent line.

Q: Find all values of x for which the tangent line of f(x) = / x² + 18x+96 is horizontal.

A:

Q: a) Find the points at which the tangent line to the graph of function f(x)=2x²-24x+6 has slope equal…

A: Let y=f(x) be any function, then    Slpoe at any point, m = df(x)dx

Q: Q 8/ Find all points on the graph of f(x)= (x-3)(x-2) at which the -1 tangent line is horizontal.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: find an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

A:

Q: 11. Find all points (c, f(c)) 9. on the graph of f(z)= x³ – 3x² where the tangent line has slope

A: Given,       f(x) = x3 - 3x2       slope = 9

Q: Find an equation for the line tangent to the graph of f at (2, 28), where f is given by f(x) = 5x³ –…

A: Given function is fx=5x3-5x2+8. To find an equation of tangent line to the graph at point 2,28.…

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

A:

Q: 9) Find the point(s), if any, where the graph has a horizontal tangent for 3x4 %3D = - 3x2 f(x) = 4…

A:

Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the…

A:

Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x)  =  6x - x2                        f'(x)  =  6 - 2x slope of the lines…

Q: Find f (4) and f ,(4) if the tangent line to the graph of f at x = 4 has equation y = 3x − 14.

A:

Q: 3. Determine the value of b if the slope of the tangent to f (x) = (3x² + 1)(2x² + b) at x = – 1 is…

A: The formula to find the slope of the tangent to the function f(x) is f'(x).

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows: