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In this lesson, we will learn how to find the partial derivative of a function defined by an integral by applying the fundamental theorem of calculus and Leibniz integral rule.

Q1:

Find the first partial derivative with respect to 𝑥 of the function 𝐹(𝑥,𝑦)=𝑒𝑡.cosd

Q2:

Find the first partial derivative with respect to 𝑦 of the function 𝐹(𝑥,𝑦)=𝑒𝑡.cosd

Q3:

Find the first partial derivative with respect to 𝑦 of the function 𝐹(𝑥,𝑦)=√𝑡+1𝑡.d

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