#BY=tan x +2X Sinxt c SIAX+I if(x);=tanx t2X gex (sin(x).tl)

Q: Y = V 3 (2x + 1)² Yiv

A: y=(2x+1)23

Q: Find the derivative. Simplify where possible. y  = x Sinh-1 (x /3)  - √ (9+x2)

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Q: Find the derivative y = x tan^¹x − In √√1 + x²

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Q: In this project we will explore how we can use the derivative to approximate values that can…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: x = cos't; y = sin't

A: To find y'' for x=cos3t;y=sin3t. For that, y'=dydx=dydtdxdt=ddt(sin t)3ddt(cos t)3=3sin t2ddt(sin…

Q: Find the derivative of the function. Simplify where possible. 60. y = arctan I+x

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Q: find the derivative of the following functions: sin(x^(2)+2) (tan^(-1))(z^(1/2)) x^(sin(x)) find the…

A: find the derivative of the following functions:sin(x^(2)+2)(tan^(-1))(z^(1/2))x^(sin(x))find the…

Q: b. y = cosh(arctan 3x)

A: Given: y=coshtan-13x We know that ddxcoshx=sinhx                                              ..1

Q: Use the quotient rule to find the derivative of 9 sin(2) – 2 5z10 + 10 You do not need to expand out…

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Q: Hello, I know that the derivative with respect to 'x' of 'sin(x)' is 'cos(x)'. I just want to know…

A: Solution:- we have to find derivative of f(x)=sinx by first principles

Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Calculate the derivative of the following functions. For this problem only, do not simplify your…

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Q: y = tan e3x + etan3x

A: Given function of x.

Q: Obtain the derivative formulas for csch x, sech x, and coth x from the derivative formulas for sinh…

A: Given functions are sinhx,coshx,tanhx.

Q: 3. Calculate the derivative of the following functions. For this problem only, do not simplify your…

A: We have to solve

Q: f(x) = cos'(5x)

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Q: c) k(x) : 2 +4 = x2 1 1 x x ||

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Q: e. y = tan(ln(cot(x² + 3 ln 3x))

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Q: Find the derivative of the following functions. y = sin2x / ex   The answer is y'= 2cos2x- sin2x /…

A: Here the given trigonometric function is y = sin2x / ex . Apply the quotient rule in the given…

Q: COSX y = xcosx

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Q: Find the derivative of f(x) = 6 sin¯¹(x + 4). You do not have to expand out your answer. ƒ'(x) =

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Q: Find the derivative of f(x) = cos x tanh-1 (sin x) and simplify. Then evaluate f'(0)

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Q: tan(xy) + xy = 0

A: Differentiate two times with respect to x.

Q: 3e*+1 b) h(x) = 2ex-5

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Q: Find the derivative. Simplify where possible. f(x) = x sinh  x - cosh x

A: The given function is fx=xsinhx-coshx.

Q: 二 Xi

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Q: d) h(x) = (5 sin –x5)

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Q: Find the derivative. y = x tanh-(x) + In( V 1 - x²) y'(x) =

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Q: y = cos(cosh(cos x)))

A: Given function is, y=coscoshcosx. It is differentiated as follows: Apply the chain rule:…

Q: Find the second derivative of f (x) = 9 sin (2æ). Enclose arguments of functions in parentheses. For…

A: Second derivative of f(x) is given below...

Q: Verify that the point ( is on the curve x Sin2y = y cos 2x . Use implicit differentiation to find…

A: We have given the equation of curve as x sin 2y=y cos 2x and have to prove that point π4, π2 that…

Q: y = x³ – x?cosx + 2xsinx + 2cosx

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Q: x cos y + sin 2y = xy

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Q: Find the derivative. Simplify where possible. y =coth  - 1 ( sec x)

A: We have to differentiate the function: y=coth-1sec x We know the formula of differentiation,…

Q: 8. y= sec® (e-sin?x) |

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Q: What is the denvative of: d√√√x²-2x do sin x

A: Topic = Derivative Your answer is correct, but it can be simplified further.

Q: f (0) = 2 sec 0 + tan 0,0 < 0 < 2n

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Q: 2n tan h 3x 3-) Arc sin tanh X

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Q: 3. Calculate the derivative of the following functions. For this problem only, do not simplify your…

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Q: Find the derivative of the following functions. Do not simplify your answer. cosx 3. sin'x

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Q: y = In(x + Vx² +1) (I+ ;*^

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Q: sin (x) -1 h(x)= 1+x

A: Let's find.

Q: 2 sin x y = -1 cosx+ 2

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Q: [4][Sec 2.6] Find the derivative of the function but do not simplify: f(x) = cos(sin 3x) .

A: solution

Q: 2. f(x) = x³ senx cos x

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Q: Find the derivative of y= e^x * sin(x) y= 5x^2 + cos(x) y= sec(x) + csc(x) y=…

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Q: g. f(n) = 3sec?(Tn – 1) | h. y = x*-1

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Q: y= Arccos(e2x)

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Q: Find the derivative of y with respect to x. Please specify the formula, equation, or rule you used…

A: Given:y=cos-1(x2)

Q: In this project we will explore how we can use the derivative to approximate values that can…

A: 1. The graph of y = sin x is plotted as follows:    The value of y at x = 0.1 can be estimated from…