2. The All-Powerful Theorem of Calculus [10 marks] Using all your knowledge acquired in this unit during the last three lectures, calculate the derivative in terms of $t$, $\frac{dy}{dt}$, for the following expression: $y = \int_0^{t^4} \sqrt{u} du$
Added by Mark D.
Close
Step 1
Step 1: We are given the expression dy/dt = V * du/dt, where y is a function of t and u is a function of t. Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 55 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function G(x) = ∫[0 to x] cos(√5t) dt.
Madhur L.
Find each derivative using Part $I$ of the Fundamental Theorem of Calculus. $\frac{d}{d x} \int_{3}^{x} \frac{t+1}{t} d t$
The Integral
The Fundamental Theorem of Calculus
Find each derivative using Part $I$ of the Fundamental Theorem of Calculus. $\frac{d}{d x}\left[\int_{x}^{5} \sin \left(t^{2}\right) d t\right]$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD