Eliminate the constant/constants from the following equations. (Refer to the note)   (x-C)2 + y2 = C2   Note: After getting the derivative, express the result so that you will have an equation for C in terms of x, y, and dy/dx. Then substitute this equation to the original given equation and express the final equation without the constant C.

Q: Y = V 3 (2x + 1)² Yiv

A: y=(2x+1)23

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: Find the approximate volume of a spherical shell whose linear radius is 3 inches and whose thickness…

A: Find your answer below

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O…

A: The curve is given by,

Q: z (y/)° = y

A:

Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

A:

Q: Find an equation of the tangent line to the curve: 4x^2 - 24xe^y + y = 13 @ the point (-1/2, 0).

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. x' + - y3 = 1, D2y 3

A: Given :

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Calculate the derivative of y = 4 + 1.

A: Calculate the derivative of y = 4 + 1.

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A:

Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

A:

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: y = In (x+2), (х-1)2

A: Given that: y=lnx3x+2x-12

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y% = 104 at the point (2,…

A:

Q: 4 Find the derivative of y = 8* +

A:

Q: 40 60 100 What is the derivative of y(t)?

A:

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

A:

Q: Use the first principles of derivatives to find the derivative of y=5x-1

A:

Q: te 2. 2t t.

A: Given,            y =tet + 2e2t + 1  To Find: Derivative of above

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: _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: Find the equation of the tangent to the curve y = 2x2 - 5x + 3, where x = 2.

A:

Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

A:

Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

A:

Q: Find an equation of the line tangent to the curve defined by æ° + 2xy + y = 104 at the point (2, 2).…

A:

Q: How do I find the following derivatives?

A: Using 1 rules of log 2 derivatives of composite functions (chain rule)

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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: Find the equation of tangent line to the curve y = 2 - x 2 (7, ²/7). at the point (7, Express the…

A: The objective is to find the equation of tangent line.

Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

A:

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

A:

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

A:

Q: Y = (3x° + 2)4 ;y"

A: Solution: Consider the given that: Y = 3x3+24 We know that the derivative of the function y =…

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: Find the equation of y, given the derivative and the indicated point on the curve. y = 2(х - 1) dx y…

A:

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: 5. y = [csc Jarcsin (cos.x)

A:

Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: Find the equation of a Tangent line to y = 2x2 – 5x – 1 that is parallel to line x + y –

A:

Q: How do you find the equation of the tangent line of the given value of x.

A: Calculation:Compute the value of f(x) at x = 4 as follows.f(4) = 2 − √4f(4) = 0.Now differentiate…

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

A:

Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

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

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: