Answer to Question #89447 in Calculus for adigam amos jacob

Question #89447

Evaluate the d^3f/dx^3 of f(x)=sin(x)cos(x)

Expert's answer

"f(x)=sin(x)cos(x)=\\frac{1}{2}sin(2x)\\\\\n\\frac{df}{dx}=cos(2x)\\\\\n\\frac{d^2f}{dx^2}=-2sin(2x)\\\\\n\\frac{d^3f}{dx^3}=-4cos(2x)"

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