y 8 f(x) = 4 %3D x? +4 (2, 1) -4 -2 2 4 -2+

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

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: 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: Without solving, match a solution curve of  y'' + y = f(x)  shown in the figure with one of the…

A:

Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

A:

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: y=x2-2x-3

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…

A:

Q: Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

A: Given equation of function:

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.…

A:

Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

A:

Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

A:

Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

A:

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

A:

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: Given : y=1-5x2, P(2,-19)

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: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: Find the equation of the line tangent to the graph off at the indicated value of x. 6 3 f(x) = Inx;…

A: In this question we have to find the equation of the line tangent to the graph of f at the indicated…

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 = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

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.…

A:

Q: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx 1.

A: According to the given information, it is required to fine the equation of tangent.

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: 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: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -2 and g'(4) = 3.…

A:

Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) : -15x + 3…

A: Given that  f(x)=-15x+3  At x=1

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 the function with the given derivative whosegraph passes through the point P.39. ƒ′(x) = 2x -…

A: We have to find the function for the given derivative passes through the point P: f'x=2x-1, P0, 0…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

A:

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: Find the slope of the tangent line to the graph of the function at the given p f(x) = -2x + 6 at…

A:

Q: 2x + 5 The equation of the line tangent to f(x) = at x = - 1 is x + 2

A: Given function is y≡fx=2x+5x+2    ...1 and point is x=-1

Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

A:

Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

A:

Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

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 at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

A:

Q: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A:

Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: Bonus: Find the equation of the line tangent to f (x) = 3x – e-5x when x = 0.

A: Given: fx=3x-e-5x To Find: Equation of the line tangent to fx, when x=0. Concept: Equation of Line…

Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

A:

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) = 5.…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe? -…

A:

Q: Where on the curve of 1 does the tangent have the greatest positive slope? y = 1+ x? O 1) 3 3 O 2) 3…

A: