Find the derivative of each function using the definition of derivatives. Use the formula of definition of derivatives. Don't do shortcuts. Don't do L'hospital rule.

Q: 4 find f'(3). x2 If f(x) =

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Q: sin(3u) 4u

A: Given; Integration of x9sin(3u)/(4u) limit from x5 to x6.

Q: fla)=-sinx (): In, Cosx

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Q: Q1; Find Taylor series of the function f(x) = Vx at a = 36. ( piul) %3D

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Q: f(x) = e2 sin¯+(3x) + In (cosh-1(e³x))

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Q: Find the derivative of the equation. Show complete solution

A: The derivative of a function defines the rate of change of function with respect to one of its…

Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: State the derivative

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Q: What is the derivative of y e3a + 1 3e3 %3D (e + 1) 3e3z (e + 1) O y = 12e6 +3e3 %3D (ed + 1) O y =…

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Q: 2. y = loga(x³ + 2x – 2) 3. y = In³(x + sin x) %3D

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Q: d {(1 — 2г + 3а4)7)} dx

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

Q: A thin-walled cone-shaped cup (see figure) is to hold 36t cm of water when full. What dimensions…

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Q: 3w + w R(w) = 2w2 + 1

A: 1. Use the quotient rule ddxuv=vu'-uv'v2 to differentiate Rw=3w+w42w2+1 with respect to w. Here,…

Q: 2. у%3D (4x? - 6х) сos(2 — 5х)

A: Given function is: y=4x2-6xcos2-5x We have to find the derivative of y with respect to x.