The derivative of (3x+5)(1+tan⁡x)  is

Let, (3x+5)(1+tan⁡x)On differentiating w.r.t. r, we getdydx=(3x+5)ddx(1+tan⁡x)+(1+tan⁡x)ddx(3x+5)=(3x+5)0+sec2⁡x+(1+tan⁡x)(3)=3xsec2⁡x+5sec2⁡x+3+3tan⁡x