Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

Q: Find the derivative of the function. f(0) = cos(0²)

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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 differential of the function y = x- sin x.

A: Given: y=x2-sinx

Q: Find the derivatives of the functions y = ln (sin2 θ)

A: Given equation:

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: Can you help me step by step?

A: Differentiate with respect to x,

Q: COS 2. %3COS

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

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Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

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

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Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

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Q: find the derivative of y with respect to x, t, or u,as appropriate. y = 1 + ln t/1 - ln t

A: The given function is y=1+ln t1-ln t

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

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

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Q: Y=67€ tanhlt

A: To differentiate the expression, y=6t tanht use the product rule, ddxf(x)g(x)=f'(x)g(x)+f(x)g'(x).…

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

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Q: find the derivative of y with respect to x, t, or u,as appropriate.55. y = ln (cos^2 u) 56. y = ln…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: find the derivative of y with respect to x, t, or u,as appropriate.57. y = ln (3te^-t)…

A: "Since, you have asked multiple question, we will solve the first questionfor you. If you want any…

Q: ■ Find the derivative of the function. Simplify wherepossible.  y = arccos (( b+a cos x)/( a+ bcos…

A: Quotient rule of differentiation:       Chain rule of differentiation:…

Q: find the derivative of y with respect to x, t, or θ, as appropriate.

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

A: Given : y = cos-112x

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: Find the derivative of the given function. 402 y%3D cos

A: Given,          The function is y=cose-4θ2.

Q: Find the derivative of y with respect to x. - 1 y = csc (x- + 1), x> 0 dy %3D dx (Type an exact…

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

A: Differentiate both sides w.r.t. x.And for addition we can apply the derivative separately on both…

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

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Q: Calculate the first four derivatives of y = x- 1. Then find the pattern and determine a general…

A: We have the given function as y=x-1                ⋯⋯1 Now differentiating both of the side of…

Q: 4 %3D ») f(E) =

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

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Q: Can you help me step by step?

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

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Q: Find the derivative of y with respect to t. y = 5sin (4t)

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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: 1 c. y = 4 sec÷x 4 Arctan 2x d. y

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Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the differential of the function y=sinx−xcosx.

A: Given,

Q: i. y = cosh(2x – 1) %3D 1 j. y = arccosh H| 8

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

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Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

Q: Find the first and second derivatives of the function  y = cos (x 2 )

A: We have to find first and second derivatives of the function: y=cos x2 We know formula of…

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

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Q: 11 with respect to x is The derivative of y = cos - 1

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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).

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

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

A: Given:

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: