Question

Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = ?_{-1}^x ?{t^3 + 1}dt f'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

          Use part I of the Fundamental Theorem of Calculus to find the derivative of
f(x) = ?_{-1}^x ?{t^3 + 1}dt
f'(x) =
[NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

Use part I of the Fundamental Theorem of Calculus to find the derivative of
f(x) = ?-1^x ?t^3 + 1dt
f'(x) =
[NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

Added by Patricia G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

02/06/2023

Step 1

This is done by taking the derivative of the function at a specific point, or "point of interest." In this case, we want to find the derivative of f(x) at the point (x, Vi). To do this, we use the Fundamental Theorem of Calculus. Show more…

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Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = ∫_{-1}^x √{t^3 + 1}dt f'(x) = [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]