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.

Download the Nagwa Practice app to access 60 additional questions for this lesson!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.