Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y = cos h-1 √2x 3. y = tan h-1 (2 / x)

Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: diy in terms of x and y. dz² ニ 86

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Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: 4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

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

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Q: Find the derivatives of the functions  1. y = x2 cot 5x    2. y = x-2 sin 2(x 3)

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

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: 2 Suppose that x and y are related by the equation 4x² - 3y² = 5 and use implicit differentiation to…

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Q: Find the first derivative of: y = sinh e2" O y e2 cosh e2# 2e2" cosh e2" O y' 2 cosh e2 O y = cosh…

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

A: The given function is y=lncos-1x.

Q: for (e3x+y2)5 = sin x cos y, find dy/dx. using implicit differentiation. must show all steps

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

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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: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: 2. Find y' by implicit differentiation. (5) xy =1+ xy

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Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Suppose that x and y are related by the given equation and use implicit differentiation to determine…

A: →duvdx = udvdx + vdudx→dkdx = 0  where, 'k' is any constant.

Q: 7. Find the nth derivative of y = 1//x.

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

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: If y- sin x and yn) means "nth derivative of y with respect to x", what is the smallest posilive…

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Q: Find the first derivative of the following: 1. y= y = Ine-tanh² 2x 2. Y= sech(5x-1)tanh(5x-1) 3.…

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Q4/B By using implicit differentiation find dyidx for y 3x*+ cos.ry

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: 4 sin x-3 2. Find the first derivative of y =150xcos (10x)+ 9 In(J16-x)

A: use derivative of y

Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: 9.) Find d'y Given: x +y = 1 dr 10.) Find coen y= 3x- 1

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: (x² +SJ° In 14-X つ. dr

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Q: c. Find the derivative of y =+- et x3 cOS X 2

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Q: Find the derivative of the function y = tanh−1(sin 2x)

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

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: 1. Find by implicit differentiation for xe = 2xy + y³.

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Q: Suppose x6 e-5y = In (xy). Find Y by implicit differentiation. dx

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Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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