Question

Use the Fundamental Theorem of Calculus to find the derivative of $y = \int_{2-9x}^{4} \frac{u^3}{1 + u^4} du$ $\frac{dy}{dx} = $ [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

          Use the Fundamental Theorem of Calculus to find the derivative of
$y = \int_{2-9x}^{4} \frac{u^3}{1 + u^4} du$
$\frac{dy}{dx} = $ 
[NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]

Use the Fundamental Theorem of Calculus to find the derivative of
y = ∫2-9x^4(u^3)/(1 + u^4) du
(dy)/(dx) =
[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 Heather L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

04/25/2023

Step 1

Step 1: Apply the Fundamental Theorem of Calculus, which states that if $F(x) = \int_{a}^{g(x)} f(u) du$, then $F'(x) = f(g(x)) \cdot g'(x)$. Show more…

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Use the Fundamental Theorem of Calculus to find the derivative of y=int_(2-9x)^4 (u^(3))/(1+u^(4))du (dy)/(dx)= [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ] Use the Fundamental Theorem of Calculus to find the derivative of 2-9T dy d [NOTE: Enter a function as your answer. Make sure that your syntax is correct, i.e. remember to put all the necessary (, ), etc. ]