7 Find the following. State the teorem that use you x ± ( [+ √rwv+ df) dx a) Find d function given b) Differenciate the g(x) = { 1 ² + ² sin (1+1) dt c) Find H'(x) given tan ex Hox) = Sanx zet dt

Q: The first derivative of y = cos(3x-8) is O a. - sin( 3x-8) O b. 3 sin( 3x-8) O. - 3xsin( 3x-8) O d.…

A: Given function is, y=cos3x-8.   It is differentiated as follows: dydx=ddxcos3x-8

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Q: The y' of the given function is (1–2 sin? 4x) y

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Q: ilf find f'(x). Answer f(x) = 3 sin x 1 + cos a

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Q: Find the derivative y = √√x S 3t cos (16) dt 0 A. 3 cos (x³) -3√√x sin (x³) OB. 3√√x cos (x³) OC.…

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Q: Derive the formula dy/dx= 1/ (1 + x2) for the derivative of y = tan-1 x by differentiating both…

A: Given,

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: linearize the following equation to get the function f(×)=x 3 sin x + 4 cos x = e^x - 3

A: Given function is f(x)=x3sinx+4cosx=ex-3⇒f(x)=x3sinx+4cosx-ex+3=0 Let we have to linearize given…

Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: Find a0 of the function f(x) = sin(x/2

A: Given function is:  fx=sinx2

Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: Evaluate the implicit function by finding dy/dx of x³+3y=3xy

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

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Q: Use implicit differentiation to determine an expression for dy dx if y√x+1 =

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Q: Find the derivative of the functions below: (Choose Four Only) y = (1+ 3x)(3 – x) y = 13x2 – 52x sin…

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