(VII) Find the equation of the curve for which the second derivative is 6. The curve passes through the point (P (1,2) with slope 8. Plot the curve to verify the result.

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: Find the slope of the tangent line to the curve defined by x2 – 3xy – 3y = -84 at the point (-6, 4).…

A: To find the slope of the tangent line to the below curve the point (-6,4)

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

A:

Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

A: The given curve is y=4x2-2. At x=1, y=412-2=2. Thus, the graph is passing through 1, 2. The slope of…

Q: 2. Find the equation of the tangent line to the curve y = x² – 2x - 3 that is parallel to the line x…

A: Given: The tangent line to the curve y=x2-2x-3 is parallel to the line x+y=1. To Find: The equation…

Q: Find an equation for the line perpendicular to the tangent line to the curve y = x3 - 4x + 1 at the…

A:

Q: 3. Find the equation of the tangent line to the curve y = x2 - 3x + 4 that perpendicular to the line…

A: we have to find the equation of the tangent line to the curve y=x2-3x+4 that is perpendicular to the…

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x -4 and parallel to the line 6x…

A:

Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

A:

Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

A:

Q: 8. Find the slope-intercept equation of the tangent line to f(x) = 3x² – 4x + 5 at the point (1, 4).…

A:

Q: 2 at the point ( 2, 1 Find an equation of the tangent line to the graph of y = e y =

A: we have to find the equation of the tangent line to the given function. We know that slope of the…

Q: 1. Find the equation of the tangent line and normal line to the graph of y=√x² +3 at the point (-12)

A:

Q: 6. Find the equation of the tangent line to the curve r* - a*y" = 12 at the point (-2, 1).

A: the equation of the tangent ( x0, y0 ) to the curve y=f(x) is    y – y0 = f ′(x0)(x – x0)

Q: (A) Find the equation of tangent and normal to the curve x2 – 2y² = –7 at (-1,–2). (B) Use the first…

A:

Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

A:

Q: (-8.-) Find the equation of the tangent line to the graph of f(x) =- at The equation of the tangent…

A: Given function and point is  f(x)=4x at  (x1,y1)=-8,-12

Q: 1. Find an equation of the tangent line to the curve y = 2x3 – 5 at the point (-1,3).

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

Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

Q: Find the slope of the tangent line to the curve defined by 3x + xy - 2y = 56 at the point (2, 5).…

A:

Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6…

A: Using Derivatives & Application of derivatives

Q: 4. Find the equation of the curve for which y""= 2x³. The slope of the inflectional tangent at (-1,…

A:

Q: What is the equation of the tangent line to the curve at the point on the curve where x = - 2? (The…

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

A:

Q: c) Find the equation of the tangent line to the function y = sec²x at the point (2:2).

A: Given function as y=sec2x

Q: Find the equation of the line tangent to the graph of y = 6eª at x = 4. Tangent Line: y =

A:

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: 4. Find the slope of the given function y3 = 4x with points (1, 2) using long method. Plot the curve

A: The solution are next step

Q: find an equation of a straight line tangent to the curve y=e^x and passing (0,0).

A:

Q: Find the equation of the tangent line to the curve y = -2 + 3x – x² at x = 1. Graph the curve and…

A: Given function is, y=-2+3x-x2 At x=1.

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 7. Find an equation of the line tangent to the curve y = 3x² – 1 and perpendicular to the line x

A:

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: Find the equation of the tangent to the curve y = x/2x² + 7 at x = 3.

A: Topic = Application of Derivative

Q: 9. Find an equation of the line tangent to the curve y = 2x - 7x2 + 10 at the point (3, 1). y = 12

A: Given that, the curve is y = 2x2 - 7x2 + 10  To find the tangent line to curve at point (3,1)   To…

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

A:

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

A:

Q: 9. Using first principles, determine the equation of the tangent line at point (2,2) on the curve…

A:

Q: Find the equation of the curve for which the second derivative is 6. The curve passes through (1,…

A:

Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

A:

Q: 5. Find the equation of the tangent line (slope-intercept form) to the 5 at the point (6,1). x-1…

A: To determine the equation of the tangent line.

Q: Find the equation of the tangent line to the curve at the given point. y = 3x − 2x^1/2   (1, 1)

A:

Q: How do I find the derivative of this problem?

A: