In this worksheet, we will practice finding the partial derivatives of multivariable functions.
Q1:
Find the first partial derivative of the function 𝑓(𝑥)=√𝑥+𝑦−4 with respect to 𝑥.
Q2:
Find the first partial derivative with respect to 𝑦 of 𝑓(𝑥,𝑦,𝑧)=𝑥𝑦𝑧+2𝑦𝑧.
Q3:
Find the first partial derivative with respect to 𝑥 of the function 𝑓(𝑥,𝑦)=𝑥+2𝑦.
Q4:
Find the first partial derivative with respect to 𝑦 of the function 𝑓(𝑥,𝑦)=𝑥+2𝑦.
Q5:
Find the first partial derivative with respect to 𝑥 of the function 𝑓(𝑥,𝑦)=𝑥+𝑦.
Q6:
Find the first partial derivative with respect to 𝑦 of the function 𝑓(𝑥,𝑦)=𝑥−𝑦+6𝑥𝑦+4𝑥−8𝑦+2.
Q7:
Find the first partial derivative with respect to 𝑥 of the function 𝑓(𝑥,𝑦)=𝑥+5𝑥𝑦.
Q8:
Find the first partial derivative with respect to 𝑦 of 𝑓(𝑥,𝑦)=𝑥𝑦−3𝑦.
Q9:
Find the first partial derivative with respect to 𝑥 of the function 𝑓(𝑥,𝑦)=𝑒+𝑥𝑦.
Q10:
Find the first partial derivative with respect to 𝑦 of the function 𝑓(𝑥,𝑦)=𝑥.
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