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In this lesson, we will learn how to use the fundamental theorem of calculus to find the derivative of a function.

Q1:

Suppose that π is a function on the interval [ π , π ] and we are able to define πΉ by πΉ ( π₯ ) = οΈ π ( π‘ ) π‘ π₯ π d and find that πΉ is NOT differentiable on ( π , π ) . What can we conclude?

Q2:

Use the Fundamental Theorem of Calculus to find the derivative of the function β ( π’ ) = οΈ β 3 π‘ 4 π‘ + 2 π‘ π’ 4 d .

Q3:

Let π¦ = οΈ β 2 + 5 π‘ π‘ 2 2 π₯ 2 s i n d . Use the Fundamental Theorem of Calculus to find π¦ β² .

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