(a): Find the first order derivative for the following function: 1+cosecx y = 1- cosecx dy (b): Using chain rule find , if dt x? y =u* and u = 8. 1 +X -- dy (c): Use implicit differentiation to find -for the following function dt y sin 1- xy y

Q: 6. Use implicit differentiation to find the following derivatives for the equation tan y = 4 +x?y +…

A: see below the calculation and answer

Q: 1. Find dy/dx if cos 4y+ysin x =3 2. Use implicit differentiation to find the slope of the tangent…

A:

Q: 1. Find the derivative. g(x)=(4x-2)^5-√(x^2+8)

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: 1. Find the first derivative of the given function given. a. y = sint cos t b. y = 6 tan(2n + 3x)

A: In this question we have to find the first derivate of the given function.

Q: Find the derivatives of the functions  1. y = x2 cot 5x    2. y = x-2 sin 2(x 3)

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 1) Find the derivative of y = e" tan x

A: As we know that; The chain rule; fgx'=f'gx·g'x And ddxex=exddxtanx=sec2x Given: y=etanx

Q: Use implicit differentiation in finding the derivatives of y with respect to x. What is the…

A: Given equation, x2 - 6xy + 3y2 =0

Q: Both x and y denotefunctions of t that are related by the given equation. Use this equation and the…

A:

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

A:

Q: 7. Compute the derivative of y = tan-(Kr) 1. at the point r = K

A:

Q: 5. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given eq. is xcosy=1Now differentiate wrt x on both sides:ddx(x*cosy)=ddx(1)We know that…

Q: dy of the function dæ Find the derivative x* In 3y = y sin 3x + et.

A:

Q: Find the derivative of the inverse trig functions. a) y = cos-1 5x b) y = x· arctan x

A: We can solve both the question as below.

Q: (b) Find a general expression for dy - (x), the (implicit) derivative of y with respect to x, as a…

A: given rθ=2+2cos2θ   for θ∈[0,2π) (b) find a general expression for dydx let  x=rcosθy=rsinθ…

Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

A:

Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: for (e3x+y2)5 = sin x cos y, find dy/dx. using implicit differentiation. must show all steps

A:

Q: 1. Find the second derivative of the following functions with respect to x. y = 3x2 + 5x - 1   2.…

A:

Q: Find the derivatives of the functions y = x2 sin4 x + x cos-2 x

A:

Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

A:

Q: (a) Find the derivative. = In(x) – In(x - 8) dy dx (b) Find the derivative. y = In X - 8 dy dx %3D

A:

Q: b) Find derivative of the following: 1. y= 5x° + 2x -x + x* -9x+12 y=1-cos 20+3sine iI. ii. s= xln…

A: The detailed solution is as follows below:

Q: Find the derivative of y=2ecos.x)(sin(5x)) d'y Calculate as a function of t if x=t-t and y=t-t 2 dx?…

A:

Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: The third derivative of y = sin is b) y" =-co а) у -sin 8 c) y" = -8sin d) y" =-8cos

A:

Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: →duvdx = udvdx + vdudx→dkdx = 0  where, 'k' is any constant.

Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: 7. Jx+y +y² + x² = 18, y'at (0, 4 )

A:

Q: A-The derivative is y = In sin 0 cos 0 1+2 ln 0

A:

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

A:

Q: Calculate the derivative of the following function. y= sin (cos (3x)) If the Chain Rule only needs…

A: In the question we have to find derivative of the given function.

Q: 6. Let y + xy - y = 8x*. a) Find dy/dx using implicit differentiation. b) Find the equation of the…

A: In implicit differentiation, when we differentiate y, we use dy/dx

Q: Find the derivative of the given function. 2 y = x sin x+x cos -3 dx

A:

Q: 3. Find the derivative y'(x) implicitly. cos?x + cos²y = cos (2x + 2y)

A:

Q: If z = xy and x = e=' and y = sin(t), find the following derivative using the chain rule. Enter your…

A:

Q: Use implicit differentiation to find the derivative in the form dy/dx.

A:

Q: Both x and ydenote functions of i that are related by the given equation. Use this equation and the…

A:

Q: (a) Find the first derivative of the function y= la) with respect to x by using the chain rule.

A:

Q: 1. Calculate the derivative of the following function. y= V2x + 19 dx 2. Calculate the derivative of…

A:

Q: Solve for the derivative of the given implicit functions. a. Find dy/dx for y= ln (4x+tan-1(lnx)).…

A: Solve: a. Find dy/dx for y= ln (4x+tan-1(lnx)). b. Find dy/dx for y= tan-1 (3x-2 sinx). c. Find the…

Q: Find the derivative of y with respect to x. 10) y = sin-1 (e6t)

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: Can i get help step by step?

A: Given,

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x6 - y? = 0,…

A:

Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

A:

Q: Find the derivative of y= cos with respect to x. -1 The derivative of y= cos with respect to x is 1

A:

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: Given x3 + y3 = 9xy, y is a function of x. Show that the point (2, 4) lies on the curve above curve…

A:

Q: Find the derivative of y with respect to x using implicit differentiation in the equation xe ye" ex…

A:

Q: QS:-Find the first order derivative of each of the following functions: a) y = etan"x + In (sin-x)…

A: