If f(x)=5x(sinx)(cosx), then what does f'(x) equal?
No idea how to take the derivative of this. I thought it would be 5(cosx)(sinx), but my online homework program tells me this is wrong. How do I find the derivative here?
No idea how to take the derivative of this. I thought it would be 5(cosx)(sinx), but my online homework program tells me this is wrong. How do I find the derivative here?
1 Answer
Mar 6, 2018
Explanation:
We want to find the derivative of
#f(x)=5xsin(x)cos(x)#
With repeated use of the product, if
Here

#g=5x=>g'=5# 
#h=cos(x)=>h'=sin(x)# 
#q=sin(x)=>q'=cos(x)#