Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

Q: 1. Find the first and second derivatives. (a) f(x) = e + x³ (b) g (t) = sin(t) + 2 cos (t) (c) h(x)…

A: according to bartleby guide line we do only first part of multiple questions.(a) given

Q: a. f (x) = 4x + sin(x) - e* = 0

A: The objective of the question is to find the root of the equation f(x) = 4x + sin(x) - e = 0. This…

Q: (a) Show that Ye(x) = Ce¯[ P(x)dx

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Q: Find a general formula for f (n)(x). f (x) = xe−x

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Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

A:

Q: Suppose we know the following things about a function c: c'(1) = 1 c''(0) = 6 c'''(x) = 6 c(2) = 3…

A: Given query is to find the function.

Q: If g(x) = xsin(x), then what is g'(2)? Round to the nearest hundredth.

A: Find out g’(2) Take first derivative for g(x) by applying product rule

Q: If f(x) = ex, find f(ln(2))

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Q: (a) Find the derivative. y In(4x – 5) – 3 In(x) dy dx (b) Find the derivative. 4x - 5 y = In x3 dy…

A: a) First we shall find the derivative of y=ln4x-5-3lnx Now,…

Q: 1. Using the following formula find (f-1)'(2): ƒ(x)= x + Vx

A: Solve the following

Q: Evaluate y'(x) if y = cos(x)x³ · (3x)ln(x).

A:

Q: A contagious and fatal virus has tragically struck the city of Plaguesville, which has been…

A: The given function Pt=108t3-3t4 gives the number of people newly injected t days after the outbreak…

Q: Find the first derivative of the given f(x)

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Q: f(x) = eax, -b 0),

A: The functionFourier transform

Q: Given the function f(x)=3x/2sin(x)+cos(x), determine f′(−π).

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