Find the derivative of cos(0)d0. du Jo cos(0)de = cos (w²) · 2w • d de So" cos(8)d0 = cos(2w) • d S cos(0)d0 = sin(w²)

Q: B- The derivative is y = ln (sec (In 0))

A: Solution ) y = ln (sec(ln θ)) Using chain rule  dy/dθ = (ln m/dm) × (dm/dn ) × (dn/dθ ) m = sec(ln θ…

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 1. y Arctan- 3-V9-x2 2. y= 4 Arccos +…

A: 1.   From the given problem:   y=Arctanx3-9-x2   As we know:   d2ydx2=ddxdydx   So,…

Q: Find the derivative of y with respect to the independent variable. COS y = 10 cos ( OA. -10 COS TO…

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Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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Q: Find the derivative of y with respect to the independent variable. y = 9cos zO O A. - 19cos AO In 9…

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

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Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: Find the derivative of the function. y = e4 e -20 - 20 cos 50 O A. - 5603 e - 20 , sin 50 O B. 03 e…

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

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Q: COS 2. %3COS

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Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

Q: Find the derivative. y = 3t cos (t6) dt Select one: 3 A.6x cos (x ) 3 3 B.3 cos (x ) - 3^/x sin (x )…

A: The solution are next step

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

A: Given,

Q: Find the derivative of the function. y = 5 cos(9x + 1)

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Q: 3. Find the derivative y'(x) implicitly. cos²x + cos²y = = cos (2x +2y)

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

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: Calculate the derivative. y = cos 3x In (cos ²3x) y' =D %3D

A: We can find the derivative as below.

Q: Find the derivatives of the functions y = sin-1√1 - u2, 0 < u < 1

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Q: Find the derivative of the function tanh-e* A. -1/2 csch x B. 1/2 csch x C. -1/2 csch 2x D. -1/2…

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Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the 25th derivative of g (0) = cos(40 + a) where a is a real valued constant.

A: The given function is: g(θ)=cos(4θ+α)

Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

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Q: Find the derivatives of the functions

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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 with respect to x, and 0 as appropriate: y = 6(sin (In 6) + cos (In 6) а.)

A: Given equation is: y=θsinlnθ+coslnθ Differentiate each term of y with respect to θ:…

Q: 11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

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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 the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Find the derivative of the function. "sin(x) In(7 + 9v) dv /cos(x) y'(x) =

A:

Q: find the derivative of sin (ax + b) cos (cx + d) CX

A: According to product rule of differentiation ,and according to chain rule of differentiation ,.

Q: Find the derivative of y = x 1 cOS x 2

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Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

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Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: 5. Find the derivative of the following. 3x-5 а. у3 b. y = In (sin(3x-5)) c. y= e2x arc tan (2x + 3)…

A: Explanation of the answer is as follows

Q: Find the derivatives of the functions defined as follows.

A: Given, y=-cos2x+cosπ6

Q: Sin (7€) + Cos (SE) 5지

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Q: is The third derivative of y = cos 3 1 sin 27 1 a) y" b) y" =- cos %3D %3D | - 3 27 3

A: The given differential equation is : y=cosx3   -1

Q: Find the derivative dy/dx of y = cos 3x O 3 sinx О З cosx O 3 sin 3x О З сos 3x none of the above

A: We can do this by doing derivative both side.

Q: Find the derivative of y with respect to x. 6x + 7 -1 6. y3-Cos %3D

A: dydx=?

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: c. Find the derivative of y =+- et x3 cOS X 2

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Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: (3) Compute the derivative of the function Cos tdt.

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Q: 3. Find the derivative of (a) f(x) = (x+ 4 sin æ) (1 – 6 cos a), an (b) sin r g(x) %3D 6x

A: a). Given function is fx=x+4sinx1-6cosx. To find the derivative of given function. Solution: Product…

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

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Q: V=ln( cosn 92) %3D

A: