Description
What is the derivative of x^3 + 3/2 x^2 - sin (x) ?
Explanation & Answer
Thank you for the opportunity to help you with your question! Hope your day is going well!
The rules for derivatives, is you bring the power down, and subtract 1 from the exponent. So, For example
f(x)=x^3
f'(x)= 3x^2
So we continue to do this for the first parts of the problem
3x^2+(2)(3/2)x
3x^2+3x
For the trig function -sin(x).
Well, cos(x)=-sin(x). Thus, the derivative -sin(x)=cos(x)
Thus the finished derivative is
3x^2+3x+cos(x).
Review
Review
24/7 Homework Help
Stuck on a homework question? Our verified tutors can answer all questions, from basic math to advanced rocket science!
Similar Content
Related Tags
Orphan Train
by Christina Baker Kline
The Odyssey
by Homer
The Two Towers
by J. R. R. Tolkien
100 Side Hustles
by Chris Guillebeau
The Elegant Universe
by Brian Greene
The Great Gatsby
by Francis Scott Key Fitzgerald
Big Little Lies
by Liane Moriarty
A Brief History of Humankind Sapiens
by Yuval Noah Harari