Given f(x) = exp x sinx. Find exact ﬁrst derivative at x = 1.0. In addition,...

Given f(x) = exp x sinx. Find exact ﬁrst derivative at x = 1.0. In addition, ﬁnd approximate ﬁrst derivative using forward, backward, central and higher order scheme for first derivative. Set h = 0.1 for approximation.

Given f(x) = xlnx. Find exact and approximate second derivatives at x = 1.0. Set h = 0.1 for approximation.

Develop a 4th order accurate symmetric scheme to approximate the second derivative of f(x) at x.

Expert Solution

Colby Messinger answered 1 year ago

maclaurin series for x=.5, 1.5 radians f(x)= (tanx - sinx -2.75) to the third derivative

Given f(x,y) =(x3y- 2x2y) a) find the directional derivative of f(x,y) at (1, 2) in the...

Given f(x,y) =(x3y- 2x2y) a) find the directional derivative of f(x,y) at (1, 2) in the direction of <-3,4> b)find the maximum value of directional derivative at (2,4) and the direction in which this occurs

A) Find the derivative of the function f by using the rules of differentiation. f(x) =...

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Let f(x) = −3+(3x2 −x+1) ln(2√x−5) (a) Find the derivative of f. (b) Using the derivative...

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Use matlab to plot Taylor approximation for f(x) for x near 0 Given f(x) = exp(x)...

Use matlab to plot Taylor approximation for f(x) for x near 0 Given f(x) = exp(x) Use subpots to plot and its absolute and realative erros for N= 1,2,3 PLease give matlab code for Taylor and explain in detail, Thank you

Find the Fourier series of the following functions f(x) = sinx+x^2+x, −2 < x < 2

Two questions: 2) Use the limit definition of the derivative to find the derivative of f(x)=...

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For the function f(x) = x(x+1) find the exact formula for f′(x). Use only the definition...

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Find the directional derivative of f at the given point in the direction indicated by the...

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The rule of the derivative of a function f is given. Find the location of all...

The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) = (x2- 1)(x - 2) Group of answer choices Local maxima at -1 and 2; local minimum at 1 Local maximum at 1; local minima at -1 and 2 Local maximum at -1; local minima at -2 and 1 Local maximum at 2 - ; local minimum at 2 +

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