B. Derivatives of Trigonometric Function Using the formula find- dx 5. y=cos (2x-1)

Q: find the derivatives y=sin^3(x)+sin(x^3))

A: we have to find the derivative

Q: Find the derivative of the trigonometric function. У %3 бх сos(x) + x° sin(x) y' =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: - a. Find the derivative of 3y – 2xy² = sin x + cot y b. Find the derivative of 2y x(3³) – In(²/²) =…

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Q: 3 The derivative of y = 3 cos (V1-x²) + (1-x²) 2 can be written as 3 (V1-x² sin ( /I-x² ) - (1-x² )…

A: Given : Function y is given and its derivative is also given To find: value of f(x) at x=0.43

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: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ( ,0) 2- y= x2 at the…

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Q: 5cos3(x) Гу 3 sin(3–2x) + tan? (3x? — 4х) — csc(/2x — 1

A: Differentiate y w.r.t x.

Q: 3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

A: We have to find

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Some of the properties of derivative ddx(uv)=udvdx+vdudx ddxxn=nxn-1…

Q: II Find the second derivative(y") of the following functions and simplify the final results. 1.…

A: Formulae used: ddxarcsinx=11-x2ddxxn=nxn-1ddxx=1 Quotient rule of differentiation: pq'=qp'-pq'q2…

Q: Find y" by implicit differentiation. cos(y) + sin(x) = 1 %3D

A: Chain rule:- if f and g are both differentiable and F(x) is a composite function defined by…

Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point E,0) 2- y= x2 at the…

A:

Q: y = sin(cos x)

A: Given:- y = sin(cosx)  To find:- Derivative of given function

Q: find the derivatives with use of trigonometric functions 4 y = sin 2xcos' 3x tan 2x y = 1- cot 2x 3…

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Q: Find the derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

Q: 1 y = cos 6x

A:

Q: y = cot (c*) Arc cos (1-2x)²

A: Explained below

Q: cos (2x) Find the derivative of cos(e2«)

A: Given that: ecos2xcos(e2x)

Q: 11. Consider the equation x + y +e# = e dy using implicit differentiation. dx (a) Find (b) Find the…

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

A: We can solve this as follows:

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: 1. a) Find the derivative of the function y = sinx + cosx. %3D b) What is the value of the…

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Q: 19. y = sin-1+ cos-1 2 2

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Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: Find the derivatives of the functions

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Q: for the function y = dz -() The derivative dy for the function y= cotV3-2 dz The derivative

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Q: Find the derivative of the trigonometric function. y = cos((?x)8)

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Q: (b) Find the first 4 derivatives of ƒ (x) = b cos (x), and use the results to find the following…

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Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

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Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A:

Q: II Find the second derivative(y") of the following functions and simplify the final results. 1.…

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Q2- Find for the following function :- dx 1- y = sinh-(tan x) – tanh-1(sin x)

A: We will differentiate using direct formula and chain rule.

Q: 1. Find the derivative the following functions y=-10x+ cosx y=x'sinx

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: The derivative of y = 3 cos (V1-x²) + (1-x²) ² can be written as 3 1– x² sin ( V1-x²) - (1-x² ) 7 3x…

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Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

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Q: cos(xy) + secy = 5

A: Given: cosxy+secy=5 We know that  ddxcosx=-sinx…

Q: Find the derivative: 5.) y = cos 4t

A:

Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

Q: dx by implicit differentiation. dy Given the equation x - yš = 3, find

A: To find dxdy by implicit differentiation of the given equation:x-y8=3

Q: Find the derivative of the trigonometric function. f( ) = 1/4 sin22

A: The given trigonometric function is: fx=14sin22x To differentiate this function, apply the chain…

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: 1 y 4 18) Find the first derivative of y = -sin? x

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Q: Find the derivative of y=(e^2x)sin(5x)

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Q: I Find the second derivative (y") of the following functions and simplify the final results. 2sin…

A: topic - double derivative of a function

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A: Please refer the attached image for complete solution.

Q: d The derivative of the sine function is the cosine function: (sin x) dx = cos X

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

A: