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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))

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))

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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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(xy + x)+i(x²-2y-y²) ii) 8(z)-2+z iii) f(z)-e² (cos(²-x)+sin(x²-x²)) 2. Find the square root of -5+5 3. f(2)=2³ +42-6 in the polar coordinate form u(r,0) +iv(r,8).
Transcribed Image Text:1. Determine whether the given functions are differentiable (anywhere). If the function is differentiable then find its' derivative. i) f(2)=-2(xy + x)+i(x²-2y-y²) ii) 8(z)-2+z iii) f(z)-e² (cos(²-x)+sin(x²-x²)) 2. Find the square root of -5+5 3. f(2)=2³ +42-6 in the polar coordinate form u(r,0) +iv(r,8).
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