Problemddx(3sinx)\frac{d}{dx}(3\sin x)dxd(3sinx)Step-by-step solutionPull constant out: 3⋅ddxsinx3 \cdot \frac{d}{dx}\sin x3⋅dxdsinx.ddxsinx=cosx\frac{d}{dx}\sin x = \cos xdxdsinx=cosx.Result: 3cosx3\cos x3cosx.Answer3cos(x)3\cos(x)3cos(x)Want to solve a different problem? Open the derivative solver →Related worked examples/solve/calculus/derivative-of-sin-2x/solve/calculus/derivative-of-cos-x