d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round the answer to two decimal places. e slope of the secant line is

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has an x-…

A:

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: a. Find all points on the graph of f(x) at which the tangent line is horizontal. b. Find all points…

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Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: Q3) Find an equation for the line which is tangent to the curve y = (1-x)(1+x) at the point where…

A: We can solve this as follows:

Q: The slope of the tangent line to the curve y = f(x) is perpendicular to the line 3x-2y =5. The slope…

A:

Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 and g' (6) = 3.…

A:

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

A: Consider the given function: fx=x2x+8 slope of the function is derivative of the function at that…

Q: Given the functionf(x)=(x-1)', find the slope of the line tangent to the graph of fat the point…

A: Given :

Q: The curve for which y'' = 6 has a slope of –3 at its point of inflection (2, 3). Find the value of y…

A: y''' = 6 Implies, y" = 6x + a, where, a is a constant. &, y' = 3x² + ax + b, where, b is a…

Q: Find the point P on the graph of the function y Vĩ closest to the point (11, 0) The x coordinate of…

A: Solved below

Q: f(x) = 3x² – 11z – 7; a = 2 The slope of the tangent to the curve at a = 2 is

A: Definition of derivative :The derivative of a function at a point f'(a)=limh→0f(a+h)-f(a)h

Q: Find the point P on the graph of the function y = yx closest to the point (4,0 The x coordinate of P…

A: Given that, graph of function  y=x   We have to find Point P on y which is closest to (4,0)

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y=(x^3)/4;…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=n

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Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

A:

Q: d). Find the x coordinate of each point of inflection of the graph off on the open interval -3 <x <…

A: d) For a point of inflection of f, f"=0 This means the points will be the critical points of f'.…

Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: The graph of y = f(x) has a y – intercept of 3 and the tangent line at the point (x, y) has a x-…

A:

Q: Determine the slope of the curve y= e^4x at the point x=O? * 1 -4

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Q: Find an equation for the line tangent to the graph of f(x) = 5xe" at the point (a, f(a)) for a = 1.…

A:

Q: 4x + 2 Find the slope of f (x) at (7, 1.42). Use a graphing utility and round to the nearest…

A:

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

A:

Q: 14. Find an equation of the line that is tangent to the graph of the function J)= 5x and parallel to…

A:

Q: Consider the following. y2 − x2 = 9; (3, 3sqrt2) Find the slope m of the line tangent to the graph…

A:

Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: Find a point on the graph of 3x y = x-4 12 where the slope of the tangent is - 23. (find x value…

A: This question can be solved using the concept of slope of tangent at a given point.

Q: Find the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

A:

Q: d. Find the value of [g-*(3)]'. Then, find the equation fo the line normal to the graph of g-+(x) at…

A: We know that g-1(g(x))=xWe differentiate both side with respect to…

Q: What is the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2?

A: To find the approximate slope of the curve with equation f(x)=(1/x-1) at x = 1.2

Q: The graph of y=a3x2+a2​, where a is a constant is called the witch of Agnesi.   a. Let a=6 and find…

A: a). Given, y=216x2+36 Differentiating with respect to x, we get…

Q: Consider the functionf (a) = 2a-7a. 1. Find the slope of the secant line on the interval [-2, 2). 2.…

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Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

A:

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

A:

Q: Find the point P on the graph of the function y=√x closest to the point (5,0) The x coordinate of P…

A: Since, we have to find a point P on the graph of the function y=x -(i) closest to the point…

Q: 4. 4. () = a北

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -8 and g'(4) = 71.…

A:

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: 2. Find the slope of the curve y = 3x +1 at the point (-0). Draw the graph of the curve.

A: GIVEN y2=3x+1 at(-1/3,0) we need to find the slope of the curve and graph the curve

Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: 5x- Find the equation of tangent to the graph of f(x) = at the point where the curve intersects the…

A: We find equation of tangent using application of derivatives

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: Q9- Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given: f(x)=x+1,   (8,3)

Q: f(x) = 3x³ – 9x² + *+3 Determine the equation of a line parallel to the tangent to f(x) at x = 4.

A:

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2