Title: Derivative of transcedental function Post by: Deckz on Apr 5, 2019 find y'' if y=cos3xsin2x, and if x=60°
y'=cos3x•d/dx(sin2x)+sin2x•d/dx(cos3x) y'=cos3x•cos2x•2+sin2x(-sin3x)•3 y'=2(cos3x•cos2x)-3(sin3x•sin2x) Is it correct and.. What's next ? Title: Re: Derivative of transcedental function Post by: duddy on Apr 5, 2019 Here you've been given the double derivative, y''
Your first integral is either (they're the same) \(y'=-\dfrac{\cos\left(5x\right)-5\cos\left(x\right)}{10}+C\) or \(y'=\frac{\cos \left(x\right)}{2}-\frac{\cos \left(5x\right)}{10}+C\) Where \(C\) is the constant. Then you find the second integral, lets us the first of the two versions above to find it: \(y=-\frac{\sin \left(5x\right)}{50}+\frac{\sin \left(x\right)}{2}+Cx+k\) Where \(k\) is the constant. Now substitute \(x=60\degree \) into the equation above to obtain an expression in terms of y, C, and k. Any further instructions provided? |