SOLUTION: If f(x)= 6sinx + 4cosx What is the derivative of f(x)? What is the derivative of f(5)?

Algebra ->  Test  -> Lessons -> SOLUTION: If f(x)= 6sinx + 4cosx What is the derivative of f(x)? What is the derivative of f(5)?      Log On


   

Question 410756: If f(x)= 6sinx + 4cosx
What is the derivative of f(x)?
What is the derivative of f(5)?
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: the derivative of sine is cosine and the derivative of cosine is -sine. Also, the derivative of a constant is 0.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x)= 6sinx + 4cosx
What is the derivative of f(x)?
f'(x) = 6cos(x) - 4sin(x)
----
I assume you mean f'(5):
f'(5) = 6cos(5) - 4sin(5)
f'(5) = 6*1.7020 - 4*-0.9589
f'(5) = 14.048
-------------------------
Cheers,
Stan H.
========================