x tan(x) + 5*log (7)
tan(x) + 5*log(7)^x
Differentiate term by term:
Rewrite the function to be differentiated:
Apply the quotient rule, which is:
and .
To find :
The derivative of sine is cosine:
To find :
The derivative of cosine is negative sine:
Now plug in to the quotient rule:
The derivative of a constant times a function is the constant times the derivative of the function.
So, the result is:
The result is:
Now simplify:
The answer is:
2 x 1 + tan (x) + 5*log (7)*log(log(7))
/ 2 \ x 2 2*\1 + tan (x)/*tan(x) + 5*log (7)*log (log(7))
2 / 2 \ 2 / 2 \ x 3 2*\1 + tan (x)/ + 4*tan (x)*\1 + tan (x)/ + 5*log (7)*log (log(7))