2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

Q: i) f(x) = x lnx mg

A: Formula for the derivative of the product of two function

Q: et f(x) x8(x-4)³ (x²+3)8 Use logarithmic differentiation to determine the derivative. ƒ'(x) =

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Q: Let f(x): V (x+4)6(2x - 1) (4x + 4)4

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Q: 10 Find the derivative f'(0) of f(x) = at x + 4 x = 0 using the laws of differentiation.

A: Derivative of the function

Q: Let f(x) = If we use the method of logarithmic differentiation to find f'(x), we obtain f'(z) in the…

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Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Suppose g(x)= 3 2(1–5x)3 k (1–5x)4' with a derivative g'(x) = - " for some real number k. What is…

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Q: Consider the following functions. f(u) = u + 1 h(u) = yu+1 p(u) = 1 − 5u² q(u) = (1 - 5u2)6 g(u) =…

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Q: Determine the derivative of the given function

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Q: f(x) r(x) Then write your conjecture for the derivative of f (x) =x* in the input box below the…

A: Derivatives

Q: Show that the derivative of ! log (9-1)(g-1)u²+2u–1 u e [0, 1], q 2 3 > 0 for u > 1+(q-1)(2–u)u

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Q: Let h be a function that has second derivative (x+ 1) (x – 2) (x + 4)e5 h"(x) Is x=2 the…

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Q: Let g(x) 10x + 12 3x + 6 Find the derivative of g'(x). g'(x) =

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Q: If g(x) = g'(x) is = In(6x° – x), then the derivative of -

A: Differentiation with respect to x,

Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: 3 K(X) = X ³²³ In (x)

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