Answer the following question. Is it valid to apply the gradient and obtain a result of the following functions a) f(x, y, z) = 40xy-4z + 40x³y³z³ - 20xz-2 Justify your results. If yes, determine Vf, if not, explain why

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer the following question. Is it valid to apply the gradient and obtain a result of the
following functions
a) f(x,y,z) = 40xy z +40x3y3z3-20xz-2
Justify your results. If yes, determine ∇f, if not, explain why
Transcribed Image Text:段階的に解決し、人工知能を使用せず、 優れた仕事を行います ご支援ありがとうございました SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI Answer the following question. Is it valid to apply the gradient and obtain a result of the following functions a) f(x,y,z) = 40xy z +40x3y3z3-20xz-2 Justify your results. If yes, determine ∇f, if not, explain why
Expert Solution
Step 1: Gradient

Here we have to find the gradient of the given function. 

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