A differentiable function has the value y(2) = -1 and the derivative value y'(2) = 3. Approximate the value of y(1.9).

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A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: 3) Find the second derivative of y with reference to x. xcosy = y

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A: It is derivative.

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

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Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: find the derivative of y with respect to the appropriate variable.31. y = cos-1 x - x sech-1 x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: x + x dx x2

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Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

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Q: A) Find an equation of the line tangent to the function of x + (y-x)' D9 atx 1. B) Using the…

A: Part A,Given,          The function is x2+y-x2=9 at x=1.

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

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Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

Q: find implicit derivative of x^3 + x tan^-1 y = e^y

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Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

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Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x'-5x)* 1. y= d'y/dx'

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Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

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A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: 1) Find the derivative of the function 2 + X y = arctan V 2 – x .Simplify where possible.

A: Answer and explanation is given below..

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

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A:

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: find the first order derivative of the function

A: We have to solve

Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

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A: Given that, y=csc-1x2+1

Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

A: The given function is y=θ2+2θ tanh-1θ+1. Obtain the derivative as follows.

Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: 1) Find the derivative of y with reference to < Y 블+름 2y Y

A: Here is the solution:

Q: 2x By applying the derivatives from first principle, find the derivatives of y = 5х.

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Q: Find the derivative of the function. y = etan(8) y' =

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Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

A: