Q9- Find the slope of the function's graph at the given point. Then find an equation for the line tangent to the graph there f(x) = Vx + 1, (8,3)

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-…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: Q5: Does any tangent to the curve y vx cross the x-axis at x--1 If so, find an equation for the line…

A: It is required to find if any tangent to the curve y=x cross the x-axis at x=-1. First find the…

Q: 2x +1 Find the slope of the line tangent to the graph of y = 5x at x = 1. 4

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Q: an equation of the line tangent to the function of x2 + (y – x)2 = 9 at x = 1.

A: At given value of x find y Differentiate at given value Use equation of tangent line

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x;…

A: Determine the derivative for f(x). fx=lnx5f'x=ddxlnx5=ddx5lnx5×ddxx5=1x5×5x4=5xSo, f'x=5x

Q: Q1) Find the Derivative to the function and find local minimum and local maximum points y = 3x? - 3

A: y=3x2-3 We need to find the derivative of the function and to find the local minimum and local…

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: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3.…

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Q: 5x Find the equation of the tangent line of the function eb-y at the point (2, 10). (y – 5) = 5(x –…

A: WE HAVE TO FIND THE EQUATION OF THE TANGENT LINE OF GIVEN FUNCTION AT (2,10)

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 the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

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Q: Let f(x) = 4x*+ 4x° – 10. Find the equation of the line tangent line to the graph of Y point (2,…

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Q: Determine the point(s), at which the graph of the function has a tangent line with the given slope.…

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Q: f(x) = 4x^2 - 4x^3 + 4 What is the slope of the tangent line at x=2?   What is the equation of the…

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Q: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Let f(x) = 44 – x2 The slope of the tangent line to the graph of f(x) at the point (-6, 8) is - The…

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Q: Find all points (x,y) on the graph of f(x) = 2x- 3x with tangent lines parallel to the line y= 13x +…

A: Given : f(x) = 2x2 - 3x     To find the points on the graph of f(x) = 2x2 - 3x with tangent lines…

Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5.…

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Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1. (b) Find the…

A: Consider the following equation of curve: y=x3+4x2 Substitute x=1 in the above equation:…

Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

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Q: find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

A: Given,f(x)=x+1 ;point (8,3) We know slope of the function's graph at any point is the  value of…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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

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

A: Using equation of tangent line.

Q: For the function f(x) = 2x²: Find the slope of the tangent line to the curve at the point (1, 2): m…

A: The given function is fx=2x2. Obtain the derivative of fx=2x2: dydx=4x Substitute x,y=1,2  in…

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: 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: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: 01:- Find the slope of the curve f(x) = Vx – 1 at the point (x=5).

A: Topic-application of derivatives

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

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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.…

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Q: Q3 Find the equation of the tangent line to the function f(r) =x+7 at r 1. Show your work.

A: f(x) =x3 +7 Let y = f(x) = x3 +7, we have to find the tangent at x=1 , so value of y at x=1 is  f(1)…

Q: 2x +1 Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2

A: To find the equation of the tangent line to the graph y=2x+1x+2 at 1,1

Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x? - 8x + 4 has a tangent…

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Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: 13x Ca) If F(x) = find F'(3) and use it to find an equation of the tangent line to the curve y = 13x…

A: Given function is : Fx=13x4+x2 To find the value of F'3 and to find the equation of tangent to the…

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

A: The tangent line is a Straight line which is a tangent to the curve at the point. The point here…

Q: 2. Write the equation of the tangent line to the curve y = x2 -x-2+ 2 at the point P(1, 2). 3. Use…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…