If X and Y each follow an exponential distribution with parameter 1 and are inde- pendent, find the pdf of U = X – Y. f,(x) = e*, x > 0, and f,(y) = e, y > 0

Q: Find the derivative of f(x) = In(x² + 1) %3D

A:

Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

Q: Find the derivative of function.

A:

Q: Use logarithmic differentiation to differentiate y = xV1+x². %3D Select one: dy xV1+x2 + 3 3(1+2r2)…

A: Given:

Q: (i) Evaluate A (ii) Find the marginal pdf's

A:

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A: gx=exlnx

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A: Consider the function: fx=4cos x+x. Take the derivative applying ax+bx'=a'x+b'x. Therefore, f'x=4cos…

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: Estimate the true percent relative error for the first derivative of the function, y =[en(x)]², at x…

A: We can solve this using Central difference formula f'(x) = (f(x+h) - f(x-h))/(2h)     x 0.95 1…

Q: 3. Differentiate y = xcosh x (Use logarithmic differentiation)

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Q: find the derivative dy/dx of the functions xlny+ylnx=1

A:

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A: