It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 4 is 6x + 8y = -64 It follows that y = is the equation of the tangent line to y = g(x²) at and that y = is the equation of the tangent line to y = (g(x))? at x = 4.

Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…

A:

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: 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: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

A:

Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: The equation of the tangent line to f(x) = 5x2 + 7 at x = 0 is a y = 5x + 7 b y = 7 y = 2x + 14 O d…

A:

Q: It is given to you that na equation of the tangent line to the graph of y=g(x) at x = 25 is…

A: Given that at x=25, 2x+12y=-34 is a tangent. for x=25, 2(25)+12y=-3450+12y=-3412y=-84y=-7This means…

Q: 3. Find the equation of the tangent to the curve y = (x - 2)√x² + 16 at X = 3.

A:

Q: Find the equation of tangent for the implicit function x3 - xy2 + 3y2 + 4 = 0. at the point (1, 2)

A:

Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

A:

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

A:

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

A:

Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: Which is the equation of the tangent line to the curve x +xy = 4+ y² at the point (4,6)? a) y-6=3(x-…

A:

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

A:

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=16 is 2x+9y=−4…

A: Equation of the tangent line to the curve y = g(x) at x = 16 is To find Part (a) Equation of…

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

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

A:

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: Find the equation of the tangent line to the graph ofx^2 * y^2 + 3xy =18 at the point (-2, 3)

A: The given curve is: x2+y2+3xy=18 Differentiating both sides of the equation with respect to 'x', we…

Q: What is the equation of the tangent line to y=e^7x−9/e^x at x=0? Write the equation in…

A:

Q: Suppose the line tangent to the graph of f at x = 4 is y = 5x +3 and suppose y = 3x - 5 is the line…

A:

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

A:

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: 1. For y-In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A: We can answer first question as per the honor policy. Please resubmit other questions to know the…

Q: Find an equation of the tangent line to the curve

A:

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: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: 1. Given the equation of tangent to the curve y = x³ - x² – 7x + 10 at the point (a, b) is y = 5x +…

A: We know that the equation of the straight line that passes through the point (x0, y0) with finite…

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: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

A:

Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

A:

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A:

Q: 14. Find the equations of the tangent lines to the curve y = x- 6x perpendicular to the line x- 2y +…

A:

Q: determine the constants a and b so that the line y = -3x + 4 is tangent to the graph y = ax^3 + bx…

A:

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=4 is 4x+7y=−54…

A: Given The tangent line to the graph of y=gx at x=4 is given by 4x+7y=-54

Q: 16. The slope of the tangent line at any point (x, y) on the curve is 3x2 - 2x +7. What is the…

A:

Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

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: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

A:

Q: It is given to you that an equation of the tangent line to the graph of y=g(x) at x=25 is 4x+6y=70…

A:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at z = 9 is 5x +…

A: We have to find the equation of the tangent lines of the given curves.

Q: 3. Find the equation of the tangent line to the graph of x²y + 9xy= 162 at the point (-3, 6).

A: