log(x) sin(x)*------ log(7)
sin(x)*(log(x)/log(7))
Apply the quotient rule, which is:
and .
To find :
Apply the product rule:
; to find :
The derivative of is .
; to find :
The derivative of sine is cosine:
The result is:
To find :
The derivative of the constant is zero.
Now plug in to the quotient rule:
Now simplify:
The answer is:
sin(x) cos(x)*log(x) -------- + ------------- x*log(7) log(7)
sin(x) 2*cos(x) - ------ - log(x)*sin(x) + -------- 2 x x ----------------------------------- log(7)
3*sin(x) 3*cos(x) 2*sin(x) -cos(x)*log(x) - -------- - -------- + -------- x 2 3 x x ----------------------------------------------- log(7)