6. x cos x, find the second derivative. 7. y = sin? x, find y dx2 d²y 8. y = tan(3x²), find · dx2"

Q: Find the indicated nth derivative of the following: 8. 25th derivative of y = sinh8x ans. y25) = 825…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: dy Find dx 5 + y = cOS X tan x

A:

Q: Find dy/dx by implicit differentiation. 4x2 + 3xy - y? = 2 dy/dx =

A: We have to find derivative

Q: 12. cos cos (xy) = 1+ sin y

A:

Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3.…

A:

Q: Is it possible to evaluate the anti-derivative below? | (x + 1) cOS (2x) cos (x2) dx

A:

Q: 14. S 5 sin 3x cos 3x dx 15. ſ tan? Ode

A: We can solve the given integral as follows:

Q: Q3) find the derivative of each function: 1) y=x?sin*2x + x cos-3x 2) y? = (sin2x)* + (cos2x)* + 2xy…

A:

Q: 7) Find dx 4e* dy if y = %3D 8) Find the first derivative of f (x) = sin? (x°).

A: We need to find out : 7)  dydx if y=4exx 8) First derivative of f(x)=sin2(x3)

Q: 3. find dy/dx of y= sinh 2x

A:

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

A:

Q: S cos*x sinx dx

A:

Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

A:

Q: dy by implicit differentiation: 2x 3x? y + y = 15 Find - dx

A: Take the derivative by concept of power derivative and chain rule of derivative.

Q: Find dy/dx by implicit differentiation. sin(=²*) = -x ain(v?) -x sin sin(v²) y' =

A: Using the differentiation rule,

Q: I. Find the first derivative of the given function. 3 5. v = (1+ sin*y)

A: We can solve this as follows:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: find dy / dx by implicit differentiation.

A: Implicit differentiation is performed when the dependent variable cannot be explicitly written as a…

Q: 4- cosh x2 dy + (sinh x)y = e-* dx

A:

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

A:

Q: 4- Find dy/dx for y = 3[(sin-"(e-3x*)²

A: f(x) = 3arcsin2e-3x2f'(x) =ddx 3arcsin2e-3x2=ln(3)·…

Q: Find dy/dx by implicit differentiation. (cos πx + sin πy)5 = 70 dy/dx =

A:

Q: What is the derivative of y esin I + cos 2x

A: Given y=esinx+cos(2x) Now we have to find derivative as shown below

Q: Find dy/dx by implicit differentiation 4 cos (7r) sin (6y ) 5

A: We have been given an implicit function and we are supposed to find dy/dx.

Q: Find the requested higher-order derivative for the given function. d?y of y = 3 sin(x) + x² cos(x)…

A: Using Derivatives.

Q: 8. [(cos'y- sin'y)dy

A:

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: Find dy dx by implicit differentiation. cos(xy) = sin(x + y)

A: some equations in x and y do not explicitly define y as a function x and cannot be easily…

Q: Calculate the derivative of y with respect to x when sin(x + y) = 6x + 4 cos(y). (Use symbolic…

A:

Q: Can i get help step by step?

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Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

Q: Find dy/dx by implicit differentiation. 4+6x=sin(xy^2) + y

A: Answer and explanation is given below..

Q: 11. In y = e" sin x

A:

Q: what is the derivative to y=sin 2t - 2 cos 2t

A: The given function is y = sin2t – 2cos2t.Find the derivative of the function as follows.

Q: Find dy/dx by implicit differentiation. sin x + 2 cos 2y = 1

A: the given implicit function is: sinx+2cos2y=1 we have to find dydx by implicit differentiation

Q: dy dx by implicit differentiation. 9. Find sinx +Scos 3y = 4

A:

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

A:

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

A: Given:

Q: Find dy/dx by implicit differentiation. 9 cos(x) sin(y) = 6 y'%3=

A:

Q: Can i get help step by step?

A: Given,

Q: 2- Sin(x) dy dx ty Cosx Ex Sinh

A: As per our guidelines we are supposed to answer only one question and rest can be reposted Given:…

Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

A: We can find the derivative on the given function by using the chain  rule of differentiation.

Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

A:

Q: Find dy/dx by implicit differentiation. (sin πx + cos πy)4 = 58

A: Given (sin πx+ cos πy)4=58 we find dydx

Q: Find dy/dx by implicit differentiation. y sin(x2) = x sin(y2)

A: y sin(x2) = x sin(y2) dy/dx = ?

Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: The derivative of : y =0(sin (In (0))) + cos(Im (0)) is:

A:

Q: Can i get help step by step please

A: We have to use the power rule because of exponent -1 and then use the chain rule for (cscx-cotx).