8.) f(x) = v5x6 – 12 10.) f(x) = (x - 4x- 7)

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A: y=Arctan3x-44

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Q: Find the derivative of In(3t3— 2t + 1) and then calculate  ∫ (9t2-2/3t3-2t+1) + 3 dt (use…

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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

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Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

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Q: 3 (x²+2)

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Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

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Q: 1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference…

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Q: The derivative of y= sech1(Inx)+esinh(3x) equals Select one: 1 3e sinh"(3x) O y' = - xInx/1-Inx…

A: Proceed as shown below...

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Q: Determine the first derivative of the ff. function a. y = 400(2)*+3 sin 3x b. y = Vxe2x cosx…

A: Given1) y=400(2)x+3sin3x2) y=xe2xcosx3)y=1+ln(3x2)1+ln(4x)We need to find the first derivative of…

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Q: If the first derivative of y is -3.8025 sin(0.507 t) on the interval {0 <= t <= 24}, what are the…

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Q: 2. Determine the second derivative of f (x)=xe* at x = -2 with a step-size of h=0.50 using Central…

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Q: Q Find the derivative us ing the de fini tion 2. O fcx) Fcx) x+2X %3D

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Q: 1. Find the derivative of g(x): Int dt 1+t Cos

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Q: Find critical points of ƒ(x) = x² ln(x) — 1⁄x² on the interval (0, ∞).

A: Given; fx=x2lnx-12x2 ; x∈0,∞    As we know that; The critical points of the function, y=fx can be…