Find the first derivative dy/dx of the following. Simplify. y = (1+ x²)Arctan x – x

Q: cos ( bVx3 f(x) = a ln sin(cx²)

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Q: Find dy/dx of the following function

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Q: Evaluate the following derivatives.

A: We first switch the limits by changing the sign

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

A: Given that y is a function of x defined implicitly by the equation  siny=4x+xy

Q: 1. Find and simplify the indicated derivative: (a) D: [e¯t sin(2t)]

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Q: Find the derivative d/dx of the following

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Q: Find the derivatives of the function defined as follows. y = sin e10x

A: Use the chain rule of derivation to find the derivative of y=sin(e10x). Find the derivative of sin…

Q: g. y = Arctan (e*)

A: The solution of the problem is given in the next step.

Q: [ sin (Fresnel function) y =

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the derivative d/dx of the following x² +1 x + 1

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Q: 3. y= Vx*e*

A: y=x23exProduct rule f(x)* g(x)'=f'(x)g(x)+f(x)g'(x)

Q: 2+x 9 y = Arctan(- 1-2x

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Q: y = Arc sin e

A: Follow the procedure given below.

Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

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Q: Find the derivative d/dx of the following 1 log sin(x)

A: We can find the derivative as below

Q: Which is the derivative (dy/dx) of y=sin-1 tanx?

A: Formula used   (fog)'(x) = f'(g(x))*g'(x)

Q: Find dy/dx by implicit differentiation for the following.:sin(xy) = x

A: Given: sin(xy)=x

Q: y= Arccos(e2x)

A: Given: y=arccose2x To Find: The second derivative y'' of the given function and to simplify the…

Q: Find for the following function: dx 1- y = sin-1 2x + 3

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Q: Find the derivative of the function.

A: Given function is ht=sincos-1t. Solution: Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Determine the derivative dy/dx for the following equation. Sec (x+y^2)+tan(x^2+4yx)=cos(y)

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Q: Find the first derivative dy/dx of the following. Simplify.

A: Given:                     ex+ey=exy   To determine:                First derivative of the given…

Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy Find the first…

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Q: Determine the second derivative of H(t)=cos?(7t)

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Q: . Find the derivative of the following functions and simplify the answer: ly = 4x² cos x- 10x sin x…

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Q: Find the derivative of the following function. y = 7x sin -1x dx 히종

A: The given function is,

Q: find dy/dx for the given value of x.

A: Finding dy/dx

Q: Find the derivative (dy/dx) of the following functions: a) xy = cotxy %3D

A: Since you have asked different multiple question, we will solve the first question for you. . If you…

Q: Find the indicated derivatives: 1. of y = sin(3x + 4y) dx

A: The given function is: y=sin(3x+4y) The derivative of the sine function is: ddxsin(x)=cos(x) From…

Q: dy Solve the derivative for the function x arcsin e', y = v1 – e2t. dx

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Q: Find the derivatives of the following functions: a) y2 sin x – tan (x + y) + 3x = 0

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Q: Which of the following has a derivative of * dy = 32.x + 24? dx

A: The derivative dydx is given by dydx = 32x + 24                          ........(1)

Q: Find the first derivative dy/dx of the following. Simplify. y = tan(x + y)

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Q: Find the derivatives of the functions

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Q: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

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Q: y= Arccos(e2x) х-1 y = log Vx+1

A: We know that,  ddxcos-1(x)=-11-x2ddxlogx=1x Along with these results we use the chain rule for…

Q: Find dy/dx for the following function y = cosh[sin-'(x²Inx)]

A: Please refer to the image below.

Q: Find the derivative (dy/dx) of the following functions: I) y = (sin x + cos x) sec x

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Find the derivative(dy/dx) of following function f(x) = Sin(2x) (x+1)? %3D

A: It is derivative problem.

Q: cos(xy) + secy = 5

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

Q: Find the following derivative. d/dx(ln|sinx|)

A: We use chain Rule

Q: Find the derivatives of the given functions. a. y = [ Arc sec(tan x)|· e »<2x

A: use logarithmic function to evaluate the derivative.

Q: 1) For #31-34, evaluate each derivative. d 3 dx ' sec /a* dx d. | ytan tdt dx

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: Find the first derivative dy/dx of the following. Simplify. 1– x3 y = In 1+ x3

A: To Find the first derivative dydx of the function and simplify Given the function y = ln 1-x31+x3 y…

Q: Find the derivative of the following function. y= In (x +8)* dy dx (Type an exact answer, using x as…

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Q: Given the function In (x +y)+ tan (2xy) y -3x4. Find dy using implicit differentiation. dx

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Q: Q1/ Find dy/dx by using the definition of derivatives for the following functions; 1. y = =

A: 1) Given- y=-4xx To find- The value of dydx using the defination of derivative for the above…

Q: Find the derivative of the function: h(t) = sin(arccos t)

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