sin(x)*sin(x)
d --(sin(x)*sin(x)) dx
Apply the product rule:
f(x)=sin(x)f{\left(x \right)} = \sin{\left(x \right)}f(x)=sin(x); to find ddxf(x)\frac{d}{d x} f{\left(x \right)}dxdf(x):
The derivative of sine is cosine:
g(x)=sin(x)g{\left(x \right)} = \sin{\left(x \right)}g(x)=sin(x); to find ddxg(x)\frac{d}{d x} g{\left(x \right)}dxdg(x):
The result is: 2sin(x)cos(x)2 \sin{\left(x \right)} \cos{\left(x \right)}2sin(x)cos(x)
Now simplify:
The answer is:
2*cos(x)*sin(x)
/ 2 2 \ 2*\cos (x) - sin (x)/
-8*cos(x)*sin(x)