Question
Find all the first order partial derivatives of the following function:
What is the value of
Answer :
Word Count : 264
Let's first find the first-order partial derivatives of the given function: \[ h(x,y,t) = e^{x-1} \cos(y+t) \] ### 1. Partial derivative with respect to \(x\): Differentiate \(h(x, y, t)\) with respect to \(x\), treating \(y\) and \(t\) as constants: \[ \frac{\partial h}{\partial x} = \frac{d}{dx} \left( e^{x-1} \cos(y+t) \right) \] Since \(\cos(y+t)\) _____ ____ _______ ______ ________ ______ __________ _______ _____ ____ ________.
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____ ________ _________ _____ ____.
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Let's first find the first-order partial derivatives of the given function: \[ h(x,y,t) = e^{x-1} \cos(y+t) \] ### 1. Partial derivative with respect to \(x\): Differentiate \(h(x, y, t)\) with respect to \(x\), treating \(y\) and \(t\) as constants: \[ \frac{\partial h}{\partial x} = \frac{d}{dx} \left( e^{x-1} \cos(y+t) \right) \] Since \(\cos(y+t)\) _____ ____ _______ ______ ________ ______ __________ _______ _____ ____ ________.
__________ _____ _________ ___ __________ ________ ______ ______.
___ ________ _______ _____ _______ _____.
_________ _____ _________ __________ _______ ________ __________ ________ ________.
___ ___ _______ _____ _________ _________ _____ _________.
____ ________ ______ ____ ________ _________ ______ ______ ________ _______ _______.
__________ ______ _______ ___ ______ ____ ___ ______ ___.
_______ ___ ____ _____ ________ _____ __________ ____ _______ _____.
______ __________ _________ _____ _____ _______ ________.
______ ________ ________ ___ __________ ______ __________ _________ __________.
_________ _________ ________ ___ _____ __________ ________ _____ ________ ______ _________ ___.
_____ ___ ____ ____ __________.
__________ _______ __________ ______ _________ _________ _______ ________ ________ _________ ____.
_______ ____ ________ ___ ___ ________ _________.
__________ __________ _______ __________ _____ _____ ___ _____ _______ ________ ______ __________.
________ _________ _____ ________ ______ _______ _____ ___ _____ _______ ____ ________.
_________ _______ _______ __________ _____ ______ ________ ___ __________ ______ ________.
____ ___ _____ ________ _________ ___ __________ ____ ________ __________ ________.
__________ _____ _____ _________ ____ _________.
____ __________ __________ ____ _____ _______ ___ __________ _____.
____ ____ __________ ___ _______ ______ ________.
______ ____ ______ ____ _________ _______ ______ _____.
______ _____ ______ _________ __________ __________ ________ ______.
____ ________ _________ _____ ____.
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