What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

Q: Find the derivative of f (y) = 5 sin6 (yª).

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Q: Va2 -x2 y=Arcsin + 6. X

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Q: Find dy/dx (the derivative)

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Q: Find the derivatives of the functions in Exercis

A: Given function is: y=1x sin-5 x-x3 cos3 x We have to find dydx.

Q: Find the derivative of f (w) = 7ln (w) + 18.

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Q: Find the derivative of y = tan 3x

A: Given function is: y = tan 3x We have to find the derivative of y with respect to x.

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: dy Prove that the derivative of y = sec x is = sec x tan x by using the derivatives of sin x and/or…

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Q: Given Derivative Sx) = 3x2 + 7x + 1

A: Given function: fx=3x2+7x+1 Basic concept: Here we shall use basic power rule. fx=cxnf'x=cnxn-1

Q: What is the derivative of * 3lnr?

A: Given that y=3ln x find the derivative

Q: calculate the derivative y = sech x coth x

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Q: 8. Find the second derivative of the function: y= (X+1)-x+Y+2 sin ²x

A: The given function is  y=X+1·x+Y+2sin2x

Q: Find the derivatives of Inverse trigonometric у - arccos V1 —х

A: y= cos-1(1-x)

Q: Dp

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Q: Find the second derivative, for y = tan () dy2

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Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: When a question asks to compute dy/dx using the definition of the derivative, how do I approach it?

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Q: H(x) = sin(esinh~1 *) %3D

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Q: Find the derivative. ( cos ft dt x10 COS^/

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Q: 6. y = vx sin-'(x)

A: we havey=x sin-1(x)

Q: Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

A: Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain…

Q: Va2-x² Y=Arc sin + a

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