1. Determine whether the given functionsare differentiable (anywhere). If thefunction is differentiable then find its'derivative.i) f(2)=-2(xy + x)+i(x²-2y-y²)ii) 8(z)-2+ziii) f(z)-e² (cos(²-x)+sin(x²-x²))2. Find the square root of -5+53. f(2)=2³ +42-6 in the polar coordinate form u(r,0) +iv(r,8).

We will check where given function is differentiable and then we will find the derivative of…

Answered: 1. Determine whether the given…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Determine whether the given functions are differentiable (anywhere). If the function is differentiable then find its' derivative. i) f(²)=-2(x+x)+(x²-2y-y²) ii) 8(²)-2+7 iii) f(z)-¹(cos(²-x)+sin(²-x))