The derivative of f(t) = df(t)/dt = -5 sin(5t). What is f(t)? f(t) = sin(5t) + C f(t) = cos(5t) + C f(t) = 3sin(t) + 4 f(t) = -cos(5t) + C
Added by Emmanuel J.
Close
Step 1
We need to find the original function f(t). To do this, we need to integrate the derivative with respect to t: ∫(-5 sin(5t)) dt We know that the integral of sin(ax) is (-1/a) cos(ax). So, in this case, a = 5. Show more…
Show all steps
Your feedback will help us improve your experience
Hoan Nguyen and 62 other Physics 101 Mechanics 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
Let F(X) = ∫ sin 3t dt. Find the third derivative of F.
Adi S.
Find the derivative of the function. $f(t)=\sin 5 t$
Derivatives
The Chain Rule
Find the derivative of each function. $$ f(t)=\sqrt{\cos 5 t \sec 5 t} $$
Differentiation
Derivatives of Trigonometric Functions
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD